Filter

FIR Filter implementation vs Linear convolution implementation

FIR Filter implementation vs Linear convolution implementation
  1. How are FIR filters implemented?
  2. Is FIR a linear filter?
  3. Why is implementing a parallel FIR filter necessary?

How are FIR filters implemented?

An FIR filter can be easily implemented using just three digital hardware elements, a unit delay (a latch), a multiplier, and an adder. The unit delay simply updates its output once per sample period, using the value of the input as its new output value. In the convolution sum, .

Is FIR a linear filter?

FIR filters are usually designed to be linear-phase (but they don't have to be.) A FIR filter is linear-phase if (and only if) its coefficients are symmetrical around the center coefficient, that is, the first coefficient is the same as the last; the second is the same as the next-to-last, etc.

Why is implementing a parallel FIR filter necessary?

Parallel processing is a powerful technique because it can be used to increase the throughput of a FIR filter or reduce the power consumption of a FIR filter. However, a traditional block filter implementation causes a linear increase in the hardware cost (area) by a factor of L, the block size.

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