Lec2: FIR filtering

Question 1

The general equation for the FIR filter?

Answer 1

Question 2

the effect of 3 point moving average filter on noise?

Answer 2

Question 3

The effect of increasing the number of points on filter noise?

Answer 3

Question 4

The Delta Dirac function?

Answer 4

An important tool in the analysis of filters is the unit impulse, also known as the Dirac delta function:

Question 5

Graph of the delta dirac function shown below?

Answer 5

Question 6

The general equation for finite impulse response?

Answer 6

Question 7

It can be shown that a general expression of a filter’s output can be expressed in terms of the impulse response and the input as:

Answer 7

Question 8

Synthetic polynomial multiplication?

Answer 8

Question 9

How is convolution written?

Answer 9

Question 10

The commutative property and associative property of convolution?

Answer 10

Question 11

Consider the impulse response of cascaded FIR filters:

Answer 11

Question 12

cascading order?

Answer 12

From the cumulative properties, we know we can rearrange the order of the filters without changing to overall operation

Question 13

FIR filters as LTI systems? The two important properties?

Answer 13

Linearity

Time invariant

Question 14

FIR: linearity?

Answer 14

Question 15

FIR: Time invariance?

Answer 15

Question 16

LTI systems proof of time invariance?

Answer 16

Question 17

LTI systems, proof of linearity?

Answer 17