MATLAB Examples

# Sample Rate Conversion

Sample rate conversion is a process of converting the sample rate of a signal from one sampling rate to another sampling rate. Multistage filters minimize the amount of computation involved in a sample rate conversion. To perform an efficient multistage rate conversion, the dsp.SampleRateConverter object:

1. accepts input sample rate and output sample rate as inputs.
2. partitions the design problem into optimal stages.
3. designs all the filters required by the various stages.
4. implements the design.

The design makes sure that aliasing does not occur in the intermediate steps.

In this example, change the sample rate of a noisy sine wave signal from an input rate of 192 kHz to an output rate of 44.1 kHz. Initialize a sample rate converter object.

```SRC = dsp.SampleRateConverter; ```

Display the filter information.

```info(SRC) ```
```ans = 'Overall Interpolation Factor : 147 Overall Decimation Factor : 640 Number of Filters : 3 Multiplications per Input Sample: 27.667188 Number of Coefficients : 8631 Filters: Filter 1: dsp.FIRDecimator - Decimation Factor : 2 Filter 2: dsp.FIRDecimator - Decimation Factor : 2 Filter 3: dsp.FIRRateConverter - Interpolation Factor: 147 - Decimation Factor : 160 ' ```

SRC is a three-stage filter: two FIR decimators followed by an FIR rate converter.

Initialize the sine wave source. The sine wave has two tones: one at 2000 Hz and the other at 5000 Hz.

```source = dsp.SineWave ('Frequency',[2000 5000],'SampleRate',192000,... 'SamplesPerFrame',1280); ```

Initialize the spectrum analyzer to see the input and output signals.

```Fsin = SRC.InputSampleRate; Fsout = SRC.OutputSampleRate; specanainput = dsp.SpectrumAnalyzer('SampleRate',Fsin,... 'PlotAsTwoSidedSpectrum',false,... 'ShowLegend',true,'YLimits',[-120 30],... 'Title','Input signal',... 'ChannelNames', {'Input'}); specanaoutput = dsp.SpectrumAnalyzer('SampleRate',Fsout,... 'PlotAsTwoSidedSpectrum',false,... 'ShowLegend',true,'YLimits',[-120 30],... 'Title','Rate Converted output',... 'ChannelNames', {'Rate Converted output'}); ```

Stream in the input signal and convert the signal's sample rate.

```for Iter = 1 : 5000 input = sum(source(),2); noisyinput = input + (10^-5)*randn(1280,1); output = SRC(noisyinput); specanainput(noisyinput); specanaoutput(output); end ```  The spectrum shown is one-sided in the range [0 Fs/2]. For the spectrum analyzer showing the input, Fs/2 is 192000/2. For the spectrum analyzer showing the output, Fs/2 is 44100/2. Hence, the sample rate of the signal changed from 192 kHz to 44.1 kHz.