From 124762f511c7515c76adf8fe400e64f491cd5a23 Mon Sep 17 00:00:00 2001 From: mcdiarmid Date: Tue, 15 Apr 2025 09:18:54 +1200 Subject: [PATCH 01/16] Use waveforms module to generate pcmfm_pulse filter, fix length. --- examples/pcmfm_test.py | 13 ++++++------- waveforms/cpm/pcmfm/pulse_filters.py | 2 +- 2 files changed, 7 insertions(+), 8 deletions(-) diff --git a/examples/pcmfm_test.py b/examples/pcmfm_test.py index a4ad049..4342e84 100644 --- a/examples/pcmfm_test.py +++ b/examples/pcmfm_test.py @@ -8,7 +8,11 @@ from waveforms.cpm.helpers import normalize_cpm_filter from waveforms.cpm.modulate import cpm_modulate -from waveforms.cpm.pcmfm import PCMFM_DENOM, PCMFM_NUMER +from waveforms.cpm.pcmfm import ( + PCMFM_DENOM, + PCMFM_NUMER, + freq_pulse_pcmfm, +) from waveforms.cpm.trellis.encoder import TrellisEncoder from waveforms.cpm.trellis.model import SimpleTrellis2 from waveforms.glfsr import PNSequence @@ -42,12 +46,7 @@ ["-", "--", "-", "--", "-."], [3, 3, 2, 2, 2], ): - t, y = impulse( - besselap(order, norm="mag"), - T=np.linspace(0, length * 2 / 0.7, num=(length - 1) * sps + 1), - ) - freq_pulse = normalize_cpm_filter(sps, np.convolve(y, np.ones(sps))) - + freq_pulse = freq_pulse_pcmfm(sps, order) normalized_time, modulated_signal = cpm_modulate( symbols=symbols, mod_index=mod_index, diff --git a/waveforms/cpm/pcmfm/pulse_filters.py b/waveforms/cpm/pcmfm/pulse_filters.py index 4f276df..c89a067 100644 --- a/waveforms/cpm/pcmfm/pulse_filters.py +++ b/waveforms/cpm/pcmfm/pulse_filters.py @@ -19,7 +19,7 @@ def freq_pulse_pcmfm(sps: int = 8, order: int = 4) -> NDArray[np.float64]: g1 = np.ones(sps) / (2 * sps) _t, g2 = impulse( besselap(order, norm="mag"), - T=np.linspace(0, length * 2 / 0.7, num=(length - 1) * sps + 1, endpoint=False), + T=np.linspace(0, length * 2 / 0.7, num=(length - 1) * sps + 1, endpoint=True), ) g = np.convolve(g1, g2, mode="full") return normalize_cpm_filter(sps, g) From 999eaec947dd3d6cec741649a26d24be944b0e89 Mon Sep 17 00:00:00 2001 From: mcdiarmid Date: Thu, 24 Jul 2025 12:23:56 +1200 Subject: [PATCH 02/16] Set target Eb/N0, getting closer. --- examples/soqpsk_detection.py | 62 +++++++++++++++++++++++---------- images/soqpsk_pam.png | Bin 272600 -> 395197 bytes waveforms/viz/constellation.py | 2 +- 3 files changed, 44 insertions(+), 20 deletions(-) diff --git a/examples/soqpsk_detection.py b/examples/soqpsk_detection.py index 37fbe77..398f86c 100644 --- a/examples/soqpsk_detection.py +++ b/examples/soqpsk_detection.py @@ -25,7 +25,7 @@ # Set seeds so iterations on implementation can be compared better rng = np.random.Generator(np.random.PCG64(seed=1)) -PN_DEGREE = 15 +PN_DEGREE = 17 DATA_GEN = PNSequence(PN_DEGREE) DATA_BUFFER = np.packbits(DATA_GEN.generate_sequence()) @@ -38,7 +38,8 @@ sps = 10 fft_size = 2**9 pulse_pad = 0.5 - sigma = np.sqrt(2) / 2 + ebn0 = 11.2 # Quasonix RDMS has a 1e-5 BER for SOQPSK-TG @ Eb/N0 = 11.2 dB + sigma = np.sqrt(sps / np.power(10, ebn0 / 10) / 2) P = 4 # Bits of information to transmit @@ -49,7 +50,7 @@ symbols = symbol_precoder(bit_array) # Create plots and axes - fig_eye, iq_axes = plt.subplots(4, 2, figsize=(12, 10), dpi=100) + fig_eye, iq_axes = plt.subplots(5, 2, figsize=(12, 12), dpi=100) for ax in iq_axes.flatten(): ax.grid(which="both", linestyle=":") @@ -70,9 +71,10 @@ for i, (pulse_filter, label, mod_index) in enumerate(pulses_colors_labels): # Assign axes iq_ax: Axes = iq_axes[0, i] - psd_ax: Axes = iq_axes[1, i] - rho_ax: Axes = iq_axes[2, i] - errors_ax: Axes = iq_axes[3, i] + mf_ax: Axes = iq_axes[1, i] + psd_ax: Axes = iq_axes[2, i] + rho_ax: Axes = iq_axes[3, i] + errors_ax: Axes = iq_axes[4, i] # Modulate the input symbols normalized_time, modulated_signal = cpm_modulate( @@ -82,8 +84,8 @@ sps=sps, ) noise = generate_complex_awgn(sigma, modulated_signal.size, rng) - modulated_signal[:] *= np.exp(-1j * np.pi / 4) - freq_pulses = np.angle(modulated_signal[1:] * modulated_signal.conj()[:-1]) * sps / np.pi + modulated_signal[:] *= np.exp(+3j * np.pi / 4) + freq_pulses = np.angle(modulated_signal[1:] * modulated_signal.conj()[1:]) * sps / np.pi # Received signal unfiltered_signal: NDArray[np.complex128] = modulated_signal + noise @@ -129,8 +131,6 @@ scale_by_freq=False, ) - ebn0_calc = 10 * np.log10(sps / (2 * sigma**2)) - # Pulse Truncation Filters L = int(pulse_filter.size / sps) truncation = 1 @@ -171,11 +171,26 @@ rk, mode="same", ) * np.conj(pseudo_symbols[k, sym_idx]) + sym = 2 * (sym_idx - 1) + line, = mf_ax.plot( + normalized_time, + mf_outputs_pam[sym_idx, :].real, + label=f"MF Re[{sym:+}]", + linestyle="-", + ) + mf_ax.plot( + normalized_time, + mf_outputs_pam[sym_idx, :].imag, + label=f"MF Im[{sym:+}]", + color=line.get_color(), + linestyle="--", + ) # Initialize FSM # WIP - ATTEMPTS TO DO A VA TRACEBACK ON EACH SYMBOL + va_delay = 2 for mf_outputs, detector_type in zip((mf_outputs_pt, mf_outputs_pam), ("PT", "PAM")): - det = SOQPSKTrellisDetector(length=2, differantial_encoding=True) + det = SOQPSKTrellisDetector(length=4, differantial_encoding=True) output_symbols = [] output_bits = [] delay = 0 @@ -194,22 +209,23 @@ # Perform Fixed Length VA Traceback sym_idx = int((n + timing_offset) / sps) rbits, rsyms = det.iteration(mf_outputs[:, n]) - output_symbols.append(rsyms[0]) - output_bits.append(rbits[0]) + output_symbols.append(rsyms[va_delay]) + output_bits.append(rbits[va_delay]) # Calculate number of errors, and visualize iter_va_output_symbols = np.array(output_symbols[det.length :], dtype=np.int8) iter_va_output_bits = np.array(output_bits[det.length :], dtype=np.uint8) - aligned_symbols = symbols[delay:] + aligned_symbols = symbols[delay+va_delay:] + aligned_bits = bit_array[delay+va_delay:] min_size = min(aligned_symbols.size, iter_va_output_symbols.size) t = np.linspace(0, min_size - 1, num=min_size) (sym_err_idx,) = np.where( iter_va_output_symbols[:min_size] - aligned_symbols[:min_size] ) - (bit_err_idx,) = np.where(iter_va_output_bits[:min_size] - bit_array[:min_size]) + (bit_err_idx,) = np.where(iter_va_output_bits[:min_size] - aligned_bits[:min_size]) log_msg = ( f"SOQPSK-{label} {detector_type}: " - f"Eb/N0 = {ebn0_calc:.2f} dB, " + f"Eb/N0 = {ebn0:.2f} dB, " f"SER = {len(sym_err_idx)/min_size:.3E} " f"BER = {len(bit_err_idx)/min_size:.3E}" ) @@ -235,12 +251,20 @@ for ax in iq_axes[0, :]: ax: Axes + ax.grid(which="both", linestyle=":") ax.set_xlim([100, 130]) ax.legend(loc="upper center", fontsize=8, ncols=4) ax.xaxis.set_major_locator(MultipleLocator(5)) ax.xaxis.set_minor_locator(MultipleLocator(1)) - for psd_ax in iq_axes[1, :]: + for ax in iq_axes[1, :]: + ax: Axes + ax.set_xlim([100, 130]) + ax.legend(loc="upper center", fontsize=8, ncols=3) + ax.xaxis.set_major_locator(MultipleLocator(5)) + ax.xaxis.set_minor_locator(MultipleLocator(1)) + + for psd_ax in iq_axes[2, :]: psd_ax.set_title("Power Spectral Density") psd_ax.set_ylabel("Amplitude [dBc]") psd_ax.set_xlabel("Normalized Frequency [$T_b$ = 1]") @@ -251,11 +275,11 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NDArray[np.complex128], n: int = 1024, color: str | None = None, From 43c2b373468a422132d93c11f2654d03feedabfc Mon Sep 17 00:00:00 2001 From: mcdiarmid Date: Thu, 24 Jul 2025 13:08:45 +1200 Subject: [PATCH 03/16] Lint. --- examples/pcmfm_test.py | 1 - examples/soqpsk_detection.py | 6 +++--- 2 files changed, 3 insertions(+), 4 deletions(-) diff --git a/examples/pcmfm_test.py b/examples/pcmfm_test.py index 4342e84..18b5f9b 100644 --- a/examples/pcmfm_test.py +++ b/examples/pcmfm_test.py @@ -4,7 +4,6 @@ import numpy as np from matplotlib.axes import Axes from matplotlib.ticker import MultipleLocator -from scipy.signal import besselap, impulse from waveforms.cpm.helpers import normalize_cpm_filter from waveforms.cpm.modulate import cpm_modulate diff --git a/examples/soqpsk_detection.py b/examples/soqpsk_detection.py index 398f86c..63a60f8 100644 --- a/examples/soqpsk_detection.py +++ b/examples/soqpsk_detection.py @@ -172,7 +172,7 @@ mode="same", ) * np.conj(pseudo_symbols[k, sym_idx]) sym = 2 * (sym_idx - 1) - line, = mf_ax.plot( + (line,) = mf_ax.plot( normalized_time, mf_outputs_pam[sym_idx, :].real, label=f"MF Re[{sym:+}]", @@ -215,8 +215,8 @@ # Calculate number of errors, and visualize iter_va_output_symbols = np.array(output_symbols[det.length :], dtype=np.int8) iter_va_output_bits = np.array(output_bits[det.length :], dtype=np.uint8) - aligned_symbols = symbols[delay+va_delay:] - aligned_bits = bit_array[delay+va_delay:] + aligned_symbols = symbols[delay + va_delay :] + aligned_bits = bit_array[delay + va_delay :] min_size = min(aligned_symbols.size, iter_va_output_symbols.size) t = np.linspace(0, min_size - 1, num=min_size) (sym_err_idx,) = np.where( From ed9d50cef77e13b56f13817debfb76c69ea0bc3e Mon Sep 17 00:00:00 2001 From: mcdiarmid Date: Wed, 6 Aug 2025 17:26:50 +1200 Subject: [PATCH 04/16] Add more precoders and DE --- waveforms/cpm/soqpsk/__init__.py | 6 ++- waveforms/cpm/soqpsk/precoder.py | 66 ++++++++++++++++++++++++++++++-- 2 files changed, 68 insertions(+), 4 deletions(-) diff --git a/waveforms/cpm/soqpsk/__init__.py b/waveforms/cpm/soqpsk/__init__.py index cdf40d7..eeff05b 100644 --- a/waveforms/cpm/soqpsk/__init__.py +++ b/waveforms/cpm/soqpsk/__init__.py @@ -1,4 +1,8 @@ -from .precoder import SOQPSKPrecoder +from .precoder import ( + SOQPSKDifferentialEncoder, + SOQPSKRecursivePrecoder, + SOQPSKStandardPrecoder, +) from .pulse_filters import ( SOQPSK_DENOM, SOQPSK_NUMER, diff --git a/waveforms/cpm/soqpsk/precoder.py b/waveforms/cpm/soqpsk/precoder.py index 8e9eb04..79e6be3 100644 --- a/waveforms/cpm/soqpsk/precoder.py +++ b/waveforms/cpm/soqpsk/precoder.py @@ -2,9 +2,44 @@ from numpy.typing import NDArray -class SOQPSKPrecoder: +class SOQPSKDifferentialEncoder: def __init__(self) -> None: - self.i = 0 + self.out_mem = 0, 0 + self.in_mem = 0 + + def __call__(self, bits: NDArray[np.uint8]) -> NDArray[np.int8]: + """SOQPSK Differential Encoder. + + From IRIG 106 Chapter 2 2-22: + out[2i] = in[2i] ^ out[2i-1] ^ 1 + out[2i+1] = in[2i+1] ^ out[2i] + + Simplified to either: + out[i] = in[i] ^ in[i-1] ^ out[i-2] ^ 1 + + or: + out[i] = (in[i] + in[i-1] + 1 - out[i-2]) & 1 + + Args: + bits (NDArray[np.uint8]): Input bit sequence. + + Returns: + NDArray[np.int8]: Output bits. + + """ + out = np.zeros(bits.size + 2, dtype=np.int8) + out[:2] = self.out_mem + inp = np.concatenate(([self.in_mem], bits), dtype=np.int8) + for i in range(2, bits.size + 1): + out[i] = inp[i - 1] ^ inp[i - 2] ^ out[i - 2] ^ 1 + self.in_mem = bits[-1] + self.out_mem = out[-2:] + return out[2:] + + +class SOQPSKStandardPrecoder: + def __init__(self) -> None: + self.i = 1 self.mem = 0, 0 def __call__(self, bits: NDArray[np.uint8]) -> NDArray[np.int8]: @@ -15,10 +50,35 @@ def __call__(self, bits: NDArray[np.uint8]) -> NDArray[np.int8]: Returns: NDArray[np.int8]: Output symbols. + """ a = np.concatenate((self.mem, bits), dtype=np.int8) i_arr = np.ones(bits.shape, dtype=np.int8) i_arr[self.i :: 2] = -1 self.i = (self.i + len(bits)) % 2 self.mem = a[-2:] - return i_arr * (2 * a[1:-1] - 1) * (a[:-2] - a[2:]) + return i_arr * (2 * a[1:-1] - 1) * (a[:-2] - a[2:]) * 2 + + +class SOQPSKRecursivePrecoder: + def __init__(self) -> None: + self.i = 0 + self.sign = 0 + + def __call__(self, bits: NDArray[np.uint8]) -> NDArray[np.int8]: + """Encodes bits to symbols when instance is called. + + Args: + bits (NDArray[np.uint8]): Input bit sequence. + + Returns: + NDArray[np.int8]: Output symbols. + + """ + out = np.zeros_like(bits, dtype=np.int8) + for i, bit in enumerate(bits): + out[i] = (-1) ** self.sign * bit * 2 + self.sign = (self.sign + out[i] / 2 + 1) % 2 + + self.i = (self.i + len(bits)) % 2 + return out From b38062b50b568eaef78f96410c17854711b26831 Mon Sep 17 00:00:00 2001 From: mcdiarmid Date: Wed, 6 Aug 2025 17:27:15 +1200 Subject: [PATCH 05/16] Split detection and Laurent decomp examples. --- examples/soqpsk_detection.py | 2 +- examples/soqpsk_pam.py | 180 ++++++++++++++++++ .../{soqpsk_pam.png => soqpsk_detection.png} | Bin images/soqpsk_laurent_decomp.png | Bin 0 -> 165357 bytes 4 files changed, 181 insertions(+), 1 deletion(-) create mode 100644 examples/soqpsk_pam.py rename images/{soqpsk_pam.png => soqpsk_detection.png} (100%) create mode 100644 images/soqpsk_laurent_decomp.png diff --git a/examples/soqpsk_detection.py b/examples/soqpsk_detection.py index 63a60f8..95c1054 100644 --- a/examples/soqpsk_detection.py +++ b/examples/soqpsk_detection.py @@ -288,5 +288,5 @@ ax.legend(loc="upper left", fontsize=8, ncol=1) fig_eye.tight_layout() - fig_eye.savefig(Path(__file__).parent.parent / "images" / "soqpsk_pam.png") + fig_eye.savefig(Path(__file__).parent.parent / "images" / "soqpsk_detection.png") plt.show() diff --git a/examples/soqpsk_pam.py b/examples/soqpsk_pam.py new file mode 100644 index 0000000..ea24181 --- /dev/null +++ b/examples/soqpsk_pam.py @@ -0,0 +1,180 @@ +import logging +from pathlib import Path + +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.axes import Axes +from matplotlib.ticker import MultipleLocator + +from waveforms.cpm.modulate import cpm_modulate +from waveforms.cpm.pamapprox import rho_pulses +from waveforms.cpm.soqpsk import ( + freq_pulse_soqpsk_mil, + freq_pulse_soqpsk_tg, +) +from waveforms.cpm.trellis.encoder import TrellisEncoder +from waveforms.cpm.trellis.model import ( + SOQPSKTrellis4x2DiffEncoded, +) +from waveforms.glfsr import PNSequence +from waveforms.viz import plot_constellation + + +# Set seeds so iterations on implementation can be compared better +rng = np.random.Generator(np.random.PCG64(seed=1)) + +PN_DEGREE = 13 +DATA_GEN = PNSequence(PN_DEGREE) +DATA_BUFFER = np.packbits(DATA_GEN.generate_sequence()) + + +if __name__ == "__main__": + logging.basicConfig(level=logging.INFO) + # Constants + sps = 10 + + # Bits of information to transmit + bit_array = np.unpackbits(DATA_BUFFER) + + # Convert bits to symbols + symbol_precoder = TrellisEncoder(SOQPSKTrellis4x2DiffEncoded) + symbols = symbol_precoder(bit_array) + + # Create plots and axes + fig_eye, iq_axes = plt.subplots(2, 2, figsize=(12, 8), dpi=100) + for ax in iq_axes.flatten(): + ax.grid(which="both", linestyle=":") + + # Generate pseudo-symbols + pseudo_symbols = np.array( + [ + [-1j, 1, 1j], + [np.sqrt(2) / 2 * (1 - 1j), np.sqrt(2) / 2, np.sqrt(2) / 2 * (1 + 1j)], + ], + dtype=np.complex128, + ) + + # Simulate the following SOQPSK Waveforms + pulses_colors_labels = ( + (freq_pulse_soqpsk_mil(sps=sps), "MIL", 1 / 4), + (freq_pulse_soqpsk_tg(sps=sps), "TG", 1 / 4), + ) + for i, (pulse_filter, label, mod_index) in enumerate(pulses_colors_labels): + # Assign axes + iq_ax: Axes = iq_axes[0, i] + rho_ax: Axes = iq_axes[1, i] + + # Modulate the input symbols + normalized_time, modulated_signal = cpm_modulate( + symbols=symbols, + mod_index=mod_index, + pulse_filter=pulse_filter, + sps=sps, + ) + modulated_signal[:] *= np.exp(+1j * np.pi / 4) + freq_pulses = np.angle(modulated_signal[1:] * modulated_signal.conj()[1:]) * sps / np.pi + + # Display transmitted and received signal in the time domain + iq_ax.plot(normalized_time, modulated_signal.real, "b-", alpha=1.0, label=r"CPM-I") + iq_ax.plot(normalized_time, modulated_signal.imag, "r-", alpha=1.0, label=r"CPM-Q") + + pulse_ax = iq_ax.twinx() + pulse_ax.stem( + normalized_time[sps::sps], + symbols / 2, + bottom=0, + markerfmt="ko", + linefmt="k-", + basefmt=" ", + label="Symbol", + ) + pulse_ax.plot( + normalized_time[:-1], + freq_pulses, + "k-", + alpha=0.4, + label="Frequency Pulses", + ) + pulse_ax.set_ylim(-np.pi / 2, np.pi / 2) + + # Pulse Truncation Filters + L = int(pulse_filter.size / sps) + truncation = 1 + q = np.cumsum(pulse_filter) / sps + pt_start = int((L - truncation) * sps / 2) + pt_end = int((L + truncation) * sps / 2) + 1 + truncated_phase_pulse = q[pt_start:pt_end] + + # PAM De-composition rho pulses/matched filters + rho = rho_pulses(pulse_filter, mod_index, sps, k_max=2) + d_max = max([rho_k.size for rho_k in rho]) + k_max, num_symbols = pseudo_symbols.shape + + # Plot Rho pulses used for PAM Approximation + for k, rho_k, fmt in zip(range(k_max), rho, ("b-", "g--")): + t = np.linspace(0, (rho_k.size - 1) / sps, num=rho_k.size) + rho_ax.plot( + t, + rho_k, + fmt, + label=rf"SOQPSK-{label} $\rho_{k}(t)$", + ) + + rho_ax.set_xlim(0, (max(rho, key=np.size).size - 1) / sps) + + # Re-construct signal from PAM pulses following Laurent Decomposition principles + num_points = (symbols.size + 1) * sps + pseudo_symbols_interpolated = np.zeros((k_max, num_points), dtype=np.complex128) + pam_approx = np.zeros_like(modulated_signal) + symbol_indicies = (symbols / 2 + 1).astype(np.int8) + + # Cumulative phase state from symbol + phase_index = np.cumsum(np.concatenate([[2], symbols], dtype=np.int32)) + phase_state = np.exp(1j * phase_index * np.pi / 4).round() + + # PAM Approximation of a CPM signal + for k in range(k_max): + delay = int((d_max - rho[k].size) / 2) + pseudo_symbols_interpolated[k, sps - delay : -1 - delay : sps] = ( + np.take(pseudo_symbols[k], symbol_indicies) * phase_state[:-1] + ) + pam_approx[:] += np.convolve(pseudo_symbols_interpolated[k, :], rho[k], mode="same") + + pam_delay = int(sps // 2) + iq_ax.plot( + normalized_time[pam_delay:], + pam_approx.real[:-pam_delay], + "b--", + alpha=0.5, + label=rf"PAM-I ($k_{{max}}={k_max}$)", + ) + iq_ax.plot( + normalized_time[pam_delay:], + pam_approx.imag[:-pam_delay], + "r--", + alpha=0.5, + label=rf"PAM-Q ($k_{{max}}={k_max}$)", + ) + + for ax in iq_axes[0, :]: + ax: Axes + ax.grid(which="both", linestyle=":") + ax.set_xlim([100, 130]) + ax.legend(loc="upper center", fontsize=8, ncols=4) + ax.xaxis.set_major_locator(MultipleLocator(5)) + ax.xaxis.set_minor_locator(MultipleLocator(1)) + ax.set_ylim([-3, 3]) + + for rho_ax in iq_axes[1, :]: + rho_ax.grid(which="both", linestyle=":") + rho_ax.legend() + + qpsk_esque_signal = np.zeros_like(pam_approx) + pam_approx[:] *= np.exp(1j * np.pi / 4) + qpsk_esque_signal[sps:] += pam_approx.real[:-sps] + 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zHxDd9sc2}}4|f;&uYeOJ)#=k5unLxKD?%=1?7^hqht+Zc)E#-Y&?xTO_srZ&PDmYi z1S2A*LC9z#78d|9-J~s6Ppm#ztz)H!Lnp30ML1G*=FAz_q0c*ir>HRB-rY89y~r+T z@{0hHByrrgg1;&|$L-JOEJUJlB9MsaZ)B$WuiGzSlh$&fmq!qICMKqYm`U%wzpCg{!5wg(LoMbKgnxFJdGbex2Q{Du zC-wENY2(BQ2n!vfb;Hdr;;(!uV$a&o;W}#L7z}@uklA?_*D0#_gBNy;P^K|&rmLe9mECQ$!?;ep zvI7?47lBZB#8tgioj7;yTVR*v z*q@)DU4hky3vdW?MfCP{pmrU1&COi594C&2sr`Crg90wzd+gB16I_CXj2b~Fk|2#1 ze9TN?@&=E K=d#Wzp$P!~8)#bq literal 0 HcmV?d00001 From 5a949e0a1ba0adfdc9bc711c192f5f51ba3ec62a Mon Sep 17 00:00:00 2001 From: Campbell McDiarmid Date: Thu, 7 Aug 2025 08:49:00 +1200 Subject: [PATCH 06/16] Additional kwargs to be provided for constellation, make default constellation look closer to COTS hardware, update SOQPSK PAM to show a constellation of PAM re-constructed SOQPSK-TG. --- examples/soqpsk_pam.py | 9 +- images/soqpsk_laurent_decomp.png | Bin 165357 -> 152463 bytes images/soqpsk_waveforms1.png | Bin 589472 -> 545537 bytes pyproject.toml | 2 + uv.lock | 2083 +++++++++++++++--------------- waveforms/viz/constellation.py | 56 +- 6 files changed, 1108 insertions(+), 1042 deletions(-) diff --git a/examples/soqpsk_pam.py b/examples/soqpsk_pam.py index ea24181..c302d5b 100644 --- a/examples/soqpsk_pam.py +++ b/examples/soqpsk_pam.py @@ -42,8 +42,6 @@ # Create plots and axes fig_eye, iq_axes = plt.subplots(2, 2, figsize=(12, 8), dpi=100) - for ax in iq_axes.flatten(): - ax.grid(which="both", linestyle=":") # Generate pseudo-symbols pseudo_symbols = np.array( @@ -173,7 +171,12 @@ pam_approx[:] *= np.exp(1j * np.pi / 4) qpsk_esque_signal[sps:] += pam_approx.real[:-sps] qpsk_esque_signal[:] += pam_approx.imag * 1j - fig_const = plot_constellation(signal=qpsk_esque_signal[sps * 2 - 5 :: sps * 2][1:], n=8192) + fig_const = plot_constellation( + signal=qpsk_esque_signal[sps * 2 - pam_delay :: sps * 2][1:], + n=8192, + alpha=0.1, + marker="s", + ) fig_eye.tight_layout() fig_eye.savefig(Path(__file__).parent.parent / "images" / 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