Kaid's Blog

Convolution Convolution is a mathematical way of combining two signals to form a third signal. It is the single most important technique in Digital Signal Processing. Using the strategy of impulse decomposition, systems are described by a signal called the impulse response. Convolution is important because it relates the three signals of interest: the input signal, the output signal, and the impulse response. This chapter presents convolution from two different viewpoints, called the input side algorithm and the output side algorithm. "Circular convolution The  circular convolution , also known as  cyclic convolution , of two aperiodic functions (i.e.  Schwartz functions ) occurs when one of them is  convolved in the normal way  with a  periodic summation  of the other function. That situation arises in the context of the  Circular co nvolution theorem .  The identical operation can also be expres...

Tutorial for Column Wise Multiplication of Two matrix by lists in python suppose we want to multiply two lists of different lengths in python how to do it? Well there are many ways of Doing it from itertools we can use map but it multiples lists of equal length only using numpy but creating numpy arrays are not so useful it includes complicated stuff here ill show you  can do it simply using logic Suppose i have a 2d array and i want to multiply it column wise [ 1 2 3  ]     [1]     [1, 4, 7] [  4 5 6 ] *  [2] =  [2, 5, 8] [  7 8 9 ]     [3]     [3, 6, 9] So in python we create a list inside a list a=[[1,2,3],[4,5,6],[7,8,9]] b=[1,2,3] for row in range(len(a)): print([a[col][row] for col in range(len(b)) ]) [1, 4, 7] [2, 5, 8] [3, 6, 9] mul=[[1, 2, 3, 4, 0, 0], [0, 1, 2, 3, 4, 0], [0, 0, 1, 2, 3, 4], [4, 0, 0, 1, 2, 3], [3, 4, 0, 0, 1, 2], [2, 3, 4, 0, 0, 1]] hn=[-3, 2, 1, 0, 0, 0] ...