# Questions tagged [signal-processing]

Questions on the mathematical aspects of signal processing. Please consider first if your question might be more suitable for http://dsp.stackexchange.com/

2,043 questions
Filter by
Sorted by
Tagged with
1 vote
39 views

### Am I misinterpreting this example of convolution?

I am reading the MIT Deep Learning textbook's description of convolutional neural networks and they introduce the mathematical operation of convolution as follows: Suppose we are tracking the ...
27 views

### What apps provide annotated steps of calculations?

I have mathematical formulas that I need to calculate and my question is: What apps provide a calculation’s steps with explanations? In Wolfram Alpha and ...
1 vote
43 views

### Fourier series representation of a signal

Firstly, I need to write this signal as sum of two signals to find the Fourier representation, but couldn't manage to derive it. How to find it for -T/2 - T/2? It seems like the square wave added with ...
1 vote
26 views

14 views

### Determining the frequency and phase spectrum

Let the following T-periodic signal : I found that $x(t) = \frac{A \cdot t}{T}$ and its fourier series is : $S(x)(t) = \frac{A}{2} - \frac{A}{\pi} \sum_{n=1}^\infty \frac{\sin(n \omega t)}{n}$ how ...
45 views

### How can i determine the fourier series of this signal

Let the following T-periodic signal: i think that each sub-signal is $x(t) = A \cdot tri_{\frac{T}{2}}(t)$ but i dont know how to make it periodic like in each interval of length T, we get the same ...
38 views

### Show that the solutions to differential equations are the same - decomposition property

Consider a linear and time-invariant system with differential equation $Q(D)y(t) = P(D)x(t)$ where $Q(D)$ and $P(D)$ are differential operator polynomials. We define the zero-state response as the ...
25 views

### Sampling a cosine [closed]

If you sample a cosine of fundamental period 0.1 milliseconds with a sampling rate of 10^5 samples per second, how much phase difference is there between two consecutive samples? I can't solve this ...
9 views

### How to find the time complexity of interpolation and addition?

I have signal p(t) with N samples, where I need to advance by t0 seconds. There are two ways to perform, By converting into discete system like p(n+round(t0/dt)), where dt is sample time and round(t0/...
29 views

### Understanding Least Square Estimation (LSE) for vector parameter

I am trying to understand the following part from book Fundamentals of statistical signal processing by Steven Kay. It is written that if parameter $\theta$ is vector of dimension $p \times 1$ then we ...
29 views

50 views

### Changing variables when $f(x)$ goes to $f(-x)$

I need to prove the property $$f(x)⊕f(x)=f(x)⊗f^*(-x)$$ That is, the autocorrelation of a function is the convolution with its time-reversed complex conjugate. I have constructed most of the proof but ...
39 views

32 views

### Extrapolating 2D image pixels using second order derivative

I intend to use image pixel data prediction to improve image compression. This means that I need predict image pixels based on previous rows and columns. I cannot use the next rows and columns for the ...
1 vote
59 views

### Intuition for why the fourier tranform of a polynomial is its pointwise evaluation?

Polynomials in coefficient representation can be multiplied in $O(n \, log \,n)$ time by using a fast fourier transform to convolute the coefficients. The DFT of the coefficients correspond to the ...
1 vote
67 views

### Equation for Gaussian kernel's effect on a frequency's amplitude

Applying a Gaussian blur/kernel with a sigma of $\sigma_{gau}$ to a sine/cosine wave of frequency $f_{sin}$ will cause what percent reduction in the amplitude $p_{amp}$ (not power) of the sine wave? ...
12 views

### Brief references on partial coherence

A signal in additive noise is sampled by a receiver with an unstable clock. Maybe the clock has absolute bounds on its frequency drift and sample time aperiodicity, or maybe the clock has some ...
20 views

1 vote