Top new questions this week:
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I stumbled upon Hilbert transform when researching single sideband modulation. Apparently when the demodulator frequency is bit off by $\Delta f$, the signal after demodulation and low-pass filtering …
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I was following this interesting post by a new user Rubem Pacelli and got stuck at Proakis’ referenced definition (see Section 4-1-4 starting on page 159 here). The math, all repeated further below, …
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$\DeclareMathOperator{\sinc}{sinc}\DeclareMathOperator{\asinc}{asinc}$I’m trying to follow the proof of the Fourier Transform for an Impulse train given in Julius Smith’s textbook. I come across the …
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I’d like to know if there is some general Fourier transform or other signal processing algorithm, such as a discrete wavelet transform, that is rotation equivariant. Rotational equivariance of a …
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I’m trying to learn about why signals that cross in an STFT cause apparent artifacts in the magnitude. I’ve been looking at the example below, written in python, where a gaussian peak overlaps with a …
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I am a chemical engineer so I’m not very familiar with the methods of signal processing. Nevertheless I need to apply them now on my thesis work. Most recently a question occurred to me, that is …
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I have a set of vector valued signals $\boldsymbol{y}_{1:T}$ where each $\boldsymbol{y}_k \in \mathbb{R}^{v_k}$. Each signal is potentially of different dimensionality. I’d like to apply filtering and …
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Greatest hits from previous weeks:
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If symmetry conditions are met, FIR filters have a linear phase. This is not true for IIR filters. However, for what applications is it bad to apply filters that do not have this property and what …
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According to Wikipedia, The sine wave or sinusoid is a mathematical function that describes a smooth repetitive oscillation. The formula for the Sine wave is, A = Amplitude of the Wave ω = the …
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In speech recognition, the front end generally does signal processing to allow feature extraction from the audio stream. A discrete Fourier transform (DFT) is applied twice in this process. The first …
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I’m studying some DSP and I’m having trouble understanding the difference between phase delay and group delay. It seems to me that they both measure the delay time of sinusoids passed through a …
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If I have a signal that is time limited, say a sinusoid that only lasts for $T$ seconds, and I take the FFT of that signal, I see the frequency response. In the example this would be a spike at the …
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I was just learning about the frequency domain in images. I can understand the frequency spectrum in case of waves. It denotes what frequencies are present in a wave. If we draw the frequency …
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In MATLAB I have to pass cut-off frequency for designing a filter. But this Cut-off frequency is in radians-per-sample. How do I convert my analog Cut off frequency in $\textrm{Hz}$, into the required …
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Can you answer these questions?
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I’m pretty confused about SQNR/SNR conceptually. I understand that this is a function of the power of the signal to the power of the noise. Is it not the case that we would be able to derive a value …
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I am trying to find the reverberation time of a room using the Schroeder method (i.e., Reverse-time integration method). Therefore, impulse responses should be measured first. There are many ways to …
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Not a veteran in Signal Processing, it would be extremely appreciated to help me understand the idea/heuristic behinde the idea in STFT that $$\text{nfft} \ge \text{window length}$$ At least from a …
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