EXP 1: Discrete Convolution and Correlation

Here performed Linear Convolution, Circular convolution,Linear Convolution using Circular Convolution Auto Correlation and Cross Correlation.

We considered causal Input Signals because realtime signals are always Causal. 

In Linear Convolution the length of output signal is (length of 1st input signal) + (length of 2nd input signal) -1
In Circular Convolution the length of output signal is highest from(length of 1st input signal , length of 2nd input signal)

In Linear Convolution using Circular Convolution the length if output signal is greater than or equal to length of output by linear convolution

In Auto Correlation the two input sequences are the same and the output sequence is symmetrical. Also Auto Correlation of Delayed input the output is the same as that of without delayed input signal.
In Cross Correlation the two input sequences are different and length of the output equal to (length of 1st input signal) + (length of 2nd input signal) -1. Cross Correlation with one delayed input signal gives a delayed output.

https://drive.google.com/open?id=0Bzfvoo_rjoa8Q3JHbFpFUDZEOUk
https://drive.google.com/open?id=0Bzfvoo_rjoa8WW0tekpQRjBHaVk
https://drive.google.com/open?id=0Bzfvoo_rjoa8M3cxcWJEVjVTdkU
https://drive.google.com/open?id=0Bzfvoo_rjoa8QVFfZG9hb3FrMm8