Howtosignalprocessing
- What is the Z transform of a FIR filter?
- How do you normalize FIR filter coefficients?
- Which is an advantage of FIR filter?
What is the Z transform of a FIR filter?
For an FIR filter, the Z-transform of the output y, Y(z), is the product of the transfer function and X(z), the Z-transform of the input x: Y ( z ) = H ( z ) X ( z ) = ( h ( 1 ) + h ( 2 ) z − 1 + ⋯ + h ( n + 1 ) z − n ) X ( z ) .
How do you normalize FIR filter coefficients?
The coefficients are then normalized by dividing by the sum of the coefficients themselves. This is done in order to have a DC gain equal to 1 (0 dB). At this point the FIR filter is a low pass filter. By negating every other coefficient, the FIR filter becomes a high pass filter.
Which is an advantage of FIR filter?
An FIR filter is a filter with no feedback in its equation. This can be an advantage because it makes an FIR filter inherently stable. Another advantage of FIR filters is the fact that they can produce linear phases. So, if an application requires linear phases, the decision is simple, an FIR filter must be used.
