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How are the coefficients of a filter determined?
As we have seen often in the course of this Digital Signal Processing course, the design of digital filters involves finding the coefficients of the filter. For computing and evaluating the coefficients of the digital system, we use infinite precision arithmetic.
Do you need to normalize filter coefficients to 1 under fixed point?
You don’t need to normalize filter coefficients to 1 under fixed point. You usually _do_ need to do some sort of normalization. I don’t know what the folks at the MathWorks think is Gospel, but basically you want to normalize coefficients to avoid underflow and overflow.
How is quantization of filter coefficients in digital filter design?
For computing and evaluating the coefficients of the digital system, we use infinite precision arithmetic. Infinite precision arithmetic is basically when we use numbers whose number of digits is only limited by the available memory of the system. This is done when the speed of calculations is not an issue, but the accuracy is.
How are the Poles and zeros of a filter determined?
The location of poles and zeros of any digital filter directly depends on the value of the filter coefficients. But since we are quantizing the values of the filter coefficients to fit them into the register, there will be a change in the values of the poles and zeros.
What are the characteristics of a digital filter?
The ideal frequency amplitude characteristics are given in Figure 1. These characteristics correspond to lowpass, highpass, bandpass, and bandstop digital filters. They are not realizable with finite order transfer functions, as it will be indicated at a later stage but they serve a useful purpose in providing target responses to design procedures.
How is the filter coefficient used in DSP?
It is used to determine what to write in C and what to write in assembly. It states that a DSP application generally spends 90% of its time in 10% of the code. This 10% of the code should be written in assembly, and in this case the code is the FIR filter code.