Summary: You will implement a fourth-order, elliptical, low-pass infinite impulse-response (IIR) filter as a cascade of two second-order sections.
On the DSP, you will implement the
elliptic low-pass filter designed using the
ellip command from IIR
Filters: Filter-Design Exercise in MATLAB. You should
not try to implement the notch filter designed in IIR Filtering: Filter-Coefficient
Quantization Exercise in MATLAB, because it will not
work correctly when implemented using Direct Form II. (Why
not?)
To implement the fourth-order filter, start with a single set of second-order coefficients and implement a single second-order section. Make sure you write and review pseudo-code before you begin programming. Once your single second-order IIR is working properly you can then proceed to code the entire fourth-order filter.
You may have noticed that some of the coefficients you have
computed for the second-order sections are larger than 1.0
in magnitude. For any stable second-order IIR section, the
magnitude of the "0" and "2" coefficients
(
Rather than write separate code for each second-order
section, you are encouraged first to write one section, then
write code that cycles through the second-order section code
twice using the repeat structure below. Because the IIR
code will have to run inside the block I/O loop and this
loop uses the block repeat counter
(BRC0), you must use another looping structure
to avoid corrupting the BRC0.
mov #num_stages-1, AR1
start_stage
; IIR code goes here
BCC start_stage, *AR1- != #0
It may be necessary to add gain to the output of the system.
To do this, simply shift the output left (which can be done
using the sfts opcode) before saving the output to
memory.
Your grade on this lab will be split into three parts: