# 3.3 Lab 2: lab

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You will implement a multirate system that includes three fininte impulse response filters. The sample-rate compression and expansion factors can be controlled in real time using a MATLAB graphical user interface.

## Implementation

Before implementing the entire system shown in Multirate Processing: Introduction , we recommend you design a system that consists of a cascade of filters FIR 1 and FIR 2 without thesample-rate compressor or expander. After verifying that the response of your two-filter system is correct, proceed toimplement the complete multirate system and verify its total response. At first, use fixed compression and expansionfactors of $D=U=4$ . After you have verified that the multirate system works at a fixed rate, you should modify your code so that therate can be changed easily. Later, you have the option of controlling this factor in real-time using a MATLAB interface. Regardless of whether you choose to use the MATLAB interface, you must be able to quickly change the compression and expansionfactors when you demo your code .

## Compressed-rate processing

In order to perform the processing at the lower sample rate, implement a counter in your code. Your counter willdetermine when the compressed-rate processing is to occur, and it can also be used to determine when to insert zerosinto FIR 3 to implement the sample-rate expander.

Some instructions that may be useful for implementing your multirate structure are the addm (add to memory) and bc (branch conditional) instructions. You may also find the banz (branch on auxiliary register not zero) and the b (branch) instruction useful.

## Real-time rate change and matlab interface (optional)

A simple graphical user interface (GUI) is available (as mrategui.m , which requires ser_snd.m ) that sends a number between 1 and 10 to the DSP via the serial port. This canbe used to change the compression and expansion factor in real time.

Run the GUI by typing mrategui at the MATLAB prompt. A figure should automatically open up with a slideron it; adjusting the slider changes the compression and expansion factor sent to the DSP.

The assembly code for interacting with the serial port, provided in the handout Core File: Serial Port Communication Between MATLAB and TI TMS320C54x , stores the last number that the DSP has received from the computer in thememory location labeled hold . Therefore, unless you have changed the serial portion of the givencode, you can find the last compression and expansion factor set by the GUI in this location. You need to modify yourcode so that each time a new number is received on the serial port, the compression and expansion factor ischanged. If a "1" is received on the serial port, the entire system should run at the full rate; if a "10" isreceived, the system should discard nine samples between each sample processed at the lower rate.

Note that the READSER and WRITSER macros, which are used to read data from and send data to the serial port, overwrite AR0 , AR1 , AR2 , and AR3 registers, as well as BK and the condition flag TC . You must therefore ensure that these registers are not used by your code, or that you save andrestore their values in memory before you call the READSER and WRITSER macros. This can be done using the mvdm and mvmd instructions. The serial macros set up the AR1 and AR3 each time they are called, so there is no need to change these registers beforethe macros are called.

More detail about the READSER and WRITSER macros can be found in Core File: Serial Port Communication Between MATLAB and TI TMS320C54x .

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nano basically means 10^(-9). nanometer is a unit to measure length.
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fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
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Graphene has a hexagonal structure
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