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Signal Processing

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In signal processing, sampling is the reduction of a continuous-domain signal to a discrete-domain signal.

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Consider a band limited function $f(x)$ in $L_2(\mathbb{R})$ with frequency support in $[-B,B]$ . For small delays $\delta$ it is straightforward to show that $f(x)$ and $f(x+\delta)$ are not ...
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I have really hard time trying to wrap my head around how sampling frequency of baseband OFDM signal relates to carrier frequency and how baseband signal is upconverted / downconverted. Baseband ...
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The frequency domain of a signal provides information of all the frequencies that makes up that signal. I am reading about sampling, and I want to understand why sidebands(copies of original spectrum) ...
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Why is a sampled signal not considered a digital signal? Is it after quantization when an analog signal is converted to a digital signal? In the class, I was told that a sampled signal is a discrete-...
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I am taking a DSP course, and I want to understand the motivation behind a definition: $x(t)$ is sampled by C/D at time intervals of $T_s$. We get the sampled signal $x[n]$ and it is fed into a ...
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I am a bit confused on how to digitize my signals. I have 3 independent RF streams which are contiguous, covering 0.4-0.68 GHz, 0.68-1.17 GHz and 1.17-2.00 GHz. I want to digitize each individual ...
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I read through a lot of the already existing posts about autocorrelation via FFT on this forum and elsewhere but I am still confused. Also, I am still not sure whether this is the right place to ask ...
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I know that the Nyquist frequency must be at least twice the frequency of my signal. When I have a product of sinusoidal functions (sines or cosines), I can use the corresponding identities to express ...
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I am receiving GPS L1 C/A signal using HackRF One together with gnss-sdr program and trying to set optimal parameters. My ...
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In Nyquist’s Certain Topics in Telegraph Theory The minimum bandwidth required for unambiguous interpretation is substantially equal, numerically, to the speed of signaling and is substantially ...
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I’m taking a DSP course, and we covered bandpass sampling (undersampling). I’d like a rigorous derivation of the minimal sampling frequency $f_s$ and the corresponding constraints on the band edges $\...
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I'm generating a long sequence of random bits, converting them into two sequences of I and Q OQPSK unit impulses, combining them into a complex signal, and convolving them with the impulse response of ...
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To discretize the impulse train sampling of a function ($x_p(t) = x(t)\sum_{n=-\infty}^{\infty} \delta(t-nT) $) we use $ x_d[n] = x_p(nT) = x(nT) $ (example: slide 7 of https://ocw.mit.edu/courses/res-...
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I'm new to signal processing so this might be a dumb question, but that's good if it is because it would have a simple enough answer. But googling around has not helped me so far. I found on paper ...
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In the context of pulse radars, I'm wondering exactly why and how so-called "fill pulses" are used. I understand having $N$ fill pulses allow operators to retrieve $N$ echoes within the ...
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