The aim which has to be achieved and the contents of this experiments are as follows :
1)Linear Convolution, Circular concolution
2) Auto Correlation
3) Cross Correlation
4) Linear Convolution using Circular Convolution
We have studied, understood, calculated, formulated and verified the above entities using mathematical formulation.There are various operations involved in each of the following like calculation of the outputs with use of legnth of input signals and other properties involved. In convolution especially, when both the inputs are casual, output is also casual. In the later part aim revolved around studing mathematical operation of correlation and measure degree of similarity between two signals. We wrote a function to find correlation operation. We calculated correlation of a DT signals and verify the results . We also measured the degree of similarity.
https://drive.google.com/open?id=0BxKOmgoubcmEM2pVU3JRZTVLOFk
Circular Convolution gives aliased output
ReplyDeleteExcellent comparison
ReplyDeleteIn digital signal processing, frequency filtering can be simplified by convolving two functions (data with a filter) in the time domain, which is analogous to multiplying the data with a filter in the frequency domain
ReplyDeleteConvolution replace with multiplication after conversion of signal into any domain..
ReplyDelete