GEX demo measuring the amplitude and phase frequency response of analog filters
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demo-bode-plotter/main.py

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6.2 KiB

#!/bin/env python3
import math
import numpy as np
from matplotlib import pyplot as plt
import gex
import time
class ADG:
def __init__(self, client:gex.Client):
self.client = client
self.spi = gex.SPI(client, 'spi')
self.pb = gex.PayloadBuilder(endian='big')
def write_word(self, u16):
self.pb.reset()
self.pb.u16(u16)
self.spi.write(0, self.pb.close())
def initialize(self):
# enable 28-bit writes, reset registers, configured for SINE output
self.write_word(0x2100)
self.write_word(0xC000) # phase word
self.set_frequency(0) # freq 0
self.write_word(0x2000)
def set_frequency(self, hz):
word = round(hz * 10.73741824)
self.write_word(0x4000 | (word & 0x0003FFF))
self.write_word(0x4000 | (word & 0xFFFC000)>>14)
def wfm_dc(self):
self.write_word(0x2100)
self.write_word(0x2000)
self.set_frequency(0)
def wfm_sine(self, freq=None):
self.write_word(0x2000)
if freq is not None:
self.set_frequency(freq)
#with gex.Client(gex.TrxRawUSB()) as client:
with gex.Client(gex.TrxSerialThread('/dev/ttyACM0')) as client:
# ===============================================
# Delay between adjusting input and starting the measurement.
# Should be several multiples of the time constant
settling_time_s = (4700*100e-9)*10
# max change in DB between samples to detect faulty measurements that need to be repeated
max_allowed_shift_db = 5
# db shift compensation (spread through the frequency sweep to adjust for different slopes)
allowed_shift_compensation = -4.5
if False:
# highpass filter example (corner 340 Hz)
settling_time_s = (4700*100e-9)*10
max_allowed_shift_db = 5
allowed_shift_compensation = -4.5
if True:
# lowpass filter example (corner 340 Hz)
settling_time_s = (4700*100e-9)*10
max_allowed_shift_db = 1
allowed_shift_compensation = 2
# Frequency sweep parameters
f_0 = 5
f_1 = 6000
f_step = 5
f_step_begin = 5
f_step_end = 200
# Retry on failure
retry_count = 5
retry_delay_s = settling_time_s*10
# Initial sample granularity
samples_per_period = 60
capture_periods = 10
# Parameters for automatic params adjustment
max_allowed_sample_rate = 40000
max_allowed_nr_periods = 80
min_samples_per_period = 4
# ===============================================
allowed_shift_compensation /= (f_1 - f_0) / f_step
adc = gex.ADC(client, 'adc')
gen = ADG(client)
gen.initialize()
table = []
last_db = None
f = f_0
first = True
while f <= f_1:
if not first:
f_step = round(f_step_begin + ((f - f_0) / (f_1 - f_0)) * (f_step_end - f_step_begin))
f += f_step
first = False
#dac.set_frequency(1, f)
gen.set_frequency(f)
max_allowed_shift_db += allowed_shift_compensation
# Adjust measurement parameters
while True:
desiredf = f*samples_per_period
if desiredf > max_allowed_sample_rate:
oldspp = samples_per_period
samples_per_period = math.ceil(samples_per_period * 0.9)
if samples_per_period == oldspp:
samples_per_period -= 1
if samples_per_period <= min_samples_per_period:
samples_per_period = min_samples_per_period
break
if capture_periods < max_allowed_nr_periods:
capture_periods = math.ceil(capture_periods * 1.1)
continue
break
num_samples = samples_per_period * capture_periods
print("\x1b[90mCap %d samples at %d Hz (samples per period %d, periods: %d, max db shift %f)\x1b[0m" % (
num_samples, desiredf, samples_per_period, capture_periods, max_allowed_shift_db))
adc.set_sample_rate(desiredf)
last_db_in_fail = None
suc = False
for i in range(retry_count):
time.sleep(settling_time_s if i == 0 else retry_delay_s)
t = None
samples = adc.capture(num_samples)
ar = np.array(samples, dtype=float)
try:
t = np.reshape(ar, [num_samples, 2])
except ValueError:
print("\x1b[31mCorrupt capture, repeating - try %d\x1b[0m" % (i+1))
continue
y1 = np.max(t[:,0]) - np.min(t[:,0])
y2 = np.max(t[:,1]) - np.min(t[:,1])
gain_raw = y2/y1
gain_db = 20*math.log10(gain_raw)
# check feasibility
if last_db is not None:
dbdelta = abs(last_db - gain_db)
if dbdelta > max_allowed_shift_db:
print("\x1b[31mGlitch detected (dB delta %f), repeating - try %d\x1b[0m" % (dbdelta, i+1))
last_db_in_fail = gain_db
continue
last_db = gain_db
avr1 = np.average(t[:,0])
avr2 = np.average(t[:,0])
aa = np.subtract(t[:,0], avr1)
bb = np.subtract(t[:, 1], avr2)
phaseoffset = (math.acos((np.dot(aa,bb))/(np.linalg.norm(aa) * np.linalg.norm(bb))) / math.pi) * -180
table.append(f)
table.append(gain_db)
table.append(phaseoffset)
print("f %f Hz ... Gain %f dB ... Phase %f °" % (f, gain_db, phaseoffset))
suc = True
break
if not suc:
last_db = last_db_in_fail
gen.wfm_dc()
t = np.reshape(np.array(table), [int(len(table) / 3), 3])
freqs = t[:, 0]
gains = t[:, 1]
phases = t[:, 2]
fig = plt.figure()
ax1 = fig.add_subplot(211)
ax1.set_ylabel('Gain (dB)')
ax1.semilogx(freqs, gains) # Bode magnitude plot
ax1.grid()
ax2 = fig.add_subplot(212)
ax2.set_ylabel('Phase (deg)')
ax2.set_xlabel('Frequency (Hz)')
ax2.semilogx(freqs, phases) # Bode phase plot
ax2.grid()
plt.show()