# Questions tagged [phase]

A quantity representing the fraction of cycle of a periodic signal, usually represented as an angle.

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### Deriving the probability distribution function of the cross-spectral phase

I came across a research paper (\ref{Ref 1}) where the probability distribution of the phase of the cross-spectrum was derived. Unfortunately, I could not understand how the authors arrived at the ...
118 views

### Calculating Phase Response for 2 microphones given the input

I want to measure and compare the phase response of two identical microphones. To do this, I have a pressure chamber, which allows to apply the same pressure to both microphones. I apply a sweeped ...
344 views

### Amplitude and Phase Recovery of a Signal Embedded in Linear Signal with Noise

I have a noisy signal that has an ac component of fixed frequency but variable amplitude and phase. I'd like to recover the ac component. The signal (blue trace) is mostly smooth, but has a few ...
234 views

### How can you 'perfectly' reconstruct phase for transients in a modified audio absolute spectrogram?

I am currently working on the absolute spectrogram of an input audio signal. I am using non-negative matrix factorization to separate out the rhythmic components (bass drum, snare drum and hi-hat) of ...
226 views

### Using spectogram to speed up a signal - Time Scaling/Phase Vocoder

Background About half a year ago, while learning about spectograms as part of an Image Processing course I took, I was told you can speed up audio using spectograms as follows: Calculate the ...
81 views

### How to sum amplitudes only without distorting the signal?

I do audio signal processing using Python (scipy, numpy etc.) I'm trying to "mix" 2 audio signals in a way that reduces phase canceling as much as possible. So I do an FFT of the 2 signals, ...
99 views

### Synchronization of two noisy sinusoidals signals

I have two noisy sinusoidal signals and I am currently investigating solutions to synchronize them using python. Here is an example I made to illustrate my goal, supposing that I generate these two ...
324 views

### Stability of filters with negative phase delay, group delay, and positive phase

Lets assume I have an IIR filter with : bz = [1.0195 0 0]; az = [1 0.0166 0.0020]; fvtool(bz,az) The filter is stable as i can see. If you check the phase delay ...
170 views

### Understanding Phase noise of a Hard Limited Sine Wave

I need help in understanding the frequency spectrum of a sine wave with phase noise that has been hard limited. Background: Typically, textbooks define phase noise for a sinewave, however in many ...
106 views

### How to find the noise power in my simulation

I am currently working a tricky communication chain that I want to simulate into Matlab. The chain is like a classic BPSK modulator/demodulator chain, but where the BPSK modulated signal has been ...
149 views

1 vote
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### How to calculate phase estimation error

I am working on speech enhancement and I want to compare the phase and magnitude between two signals. I compute the STFT for both, and comparing the magnitudes is easy via mean-squared error or some ...
1 vote
30 views

### What could be the cause of oscillating differential phase between a 2 channel audio signal

Test Setup I have two i2s microphones (INMP441) on a common clock. They are designated as the left and right channels with a sampling rate of 22050Hz. The generated signals are stored as WAV files and ...
1 vote
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### Depth estimation using phase shifted sine waves

For 3 phase shifted sine waves using the projected pattern: I = sin(x + δi) where δ ∈ [-2pi/3, 0, +2pi/3] which is then projected onto a scene. The resulting image is captured with a camera. I am ...
1 vote
143 views

### How to get correct phase values of the signal using Recursive Discrete Fourier Transform

Question I'm trying to understand the relation of the result of the recursive DFT to the original signal. I have a signal with a sampling frequency of 4000 Hz and the recursive phasor estimation ...
1 vote
102 views

### Deriving the IF phase equation of FMCW

My understanding of the FMCW was limited to one chirp and was mostly focused on frequency analysis. (Mostly built upon this answer) I wanted to expand my understanding to multiple chirps and was ...
1 vote
143 views

### numerical time differentiation in GNURadio

I'm hoping to put together a cheap modulation monitor for wideband FM radio using an rtl sdr usb, on the FCC website, it's listed that the modulation percentage for an FM station is the actual ...
1 vote
97 views

### Adding $n\pi$ to the phase when estimating the phase velocity of a sound wave through a material

Setup I'm estimating the phase velocity in a wooden table by using an actuator and 3 sensors. The actuator sends out a chirp and on the table there are 3 accelerometers with distance $d$ between them. ...
1 vote
451 views

### How to estimate Range, Doppler and Angle with FMCW MIMO Radar?

I am trying to obtain the range, Doppler and angle of arrival estimation with an TDM MIMO FMCW radar. Actually, I have completed this process. In doing so, however, a few things remained unclear. ...
1 vote
45 views

### Obtaining the phase component of an integer shift using phase only correlation

I'm trying to implement a sub-pixel estimation approach for my stereo matching project that I'm working on, by using the proposed method in the following paper "Sub-pixel Shift Estimation of ...
1 vote
211 views

### How to use a boxcar averager in conjunction with lock-in amplifier

Suppose there exists a temporal voltage signal composed of short pulses, modulated by a sinusoidal envelope. One desires a hardware-based signal processing scheme to maximize signal to noise ratio (...
1 vote
42 views

### How to quantify a deterministic system?

So let me layout my question and the thought process on solving it. Say, we have some system, and we want to see how deterministic the system is. By that I mean, I mean if I put some signal (real ...
1 vote
52 views

### Self Quadratic Phase Coupling || What does it really tell us?

I am working on a beginner kind of project, and after processing some data and plotting a lot of bispectrum plots, I found out that a lot of them had peaks on the diagonal fx = fy (where fi denotes ...
1 vote
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### Phase relationship of cosine components in real signal using DFT

Background Info I have a real signal comprised of 8 frequencies 400Hz-680Hz in 40Hz increments. The signal is generated from 8 cosines of equal amplitude (A=1) and phase (Phase= 0rad), summed together....
1 vote
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### Can an unwrapped phase lag diagram have values beyond $-\pi$ to $\pi$?

I have a PLL that tracks the phase lag of a resonance system. When unwrapped, my system's phase lag has values beyond $-\pi$ to $\pi$. After unwrapping phase lag, are there any bounds on the phase ...
1 vote
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### Why do we not encode frequency in 3 dimensions in MRI?

If I understand correctly, to select a particular slice (of an object, during an MRI scan) that is orthogonal to the direction of the main magnetic field applied, we apply a magnetic field that varies ...
1 vote
73 views

### Hilbert Transform on split datastream produces phase flip

this is my first post here! I'm trying to do phase correction on a signal from a linear CCD (2048 pixels, 10bit per pixel, 250kHz linerate) in an FPGA. Therfore I need to generate an analytical ...
1 vote