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Linear Convolution: In case of convolution two signal sequences input signal and impulse response given by the same system is calculated

**DIFFERENCE BETWEEN LINEAR CONVOLUTION AND CORRELATION**

**Linear Convolution**

1. In case of convolution two signal sequences input signal and impulse response given by the same system is calculated

2. Our main aim is to calculate the response given by the system.

3. Linear Convolution is given by the equation y(n) = x(n) * h(n) & calculated as

4. Linear convolution is commutative

**Correlation**

1. In case of Correlation, two signal sequences are just compared.

2. Our main aim is to measure the degree to which two signals are similar and thus to extract some information that depends to a large extent on the application

3. Received signal sequence is given as Y(n) = α x(n-D) + ω(n) Where α= Attenuation Factor D= Delay ω(n) = Noise signal

4. Not commutative.

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Digital Signal Processing : Signals and System : Difference Between Linear Convolution and Correlation |

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