SOME SIMPLE MANIPULATIONS OF SOUND USING DIGITAL SIGNAL PROCESSING Richard M. Stern 18-791 demo August 31, 2004 Department of Electrical and Computer.

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Presentation transcript:

SOME SIMPLE MANIPULATIONS OF SOUND USING DIGITAL SIGNAL PROCESSING Richard M. Stern demo August 31, 2004 Department of Electrical and Computer Engineering and School of Computer Science Carnegie Mellon University Pittsburgh, Pennsylvania 15213

Carnegie Mellon Slide Digital Signal Processing I The original sound and its spectrogram

Carnegie Mellon Slide Digital Signal Processing I Downsampling the waveform Downsampling the waveform by factor of 2:

Carnegie Mellon Slide Digital Signal Processing I Consequences of downsampling Original: Downsample Downsampled:

Carnegie Mellon Slide Digital Signal Processing I Upsampling the waveform Upsampling by a factor of 2:

Carnegie Mellon Slide Digital Signal Processing I Consequences of upsampling Original: Upsampled:

Carnegie Mellon Slide Digital Signal Processing I Linear filtering the waveform x[n] y[n] Filter 1: y[n] = 3.6y[n–1]+5.0y[n–2]–3.2y[n–3]+.82y[n–4] +.013x[n]–.032x[n–1]+.044x[n–2]–.033x[n–3]+.013x[n–4] Filter 2: y[n] = 2.7y[n–1]–3.3y[n–2]+2.0y[n–3–.57y[n–4] +.35x[n]–1.3x[n–1]+2.0x[n–2]–1.3x[n–3]+.35x[n–4]

Carnegie Mellon Slide Digital Signal Processing I Filter 1 in the time domain

Carnegie Mellon Slide Digital Signal Processing I Output of Filter 1 in the frequency domain Original: Lowpass:

Carnegie Mellon Slide Digital Signal Processing I Filter 2 in the time domain

Carnegie Mellon Slide Digital Signal Processing I Output of Filter 2 in the frequency domain Original: Highpass:

Carnegie Mellon Slide Digital Signal Processing I The source-filter model of speech A useful model for representing the generation of speech sounds: Pitch Pulse train source Noise source Vocal tract model Amplitude p[n]

Carnegie Mellon Slide Digital Signal Processing I Separating the vocal-tract excitation from the filter Original speech: Speech with 75-Hz excitation: Speech with 150-Hz excitation: Speech with noise excitation: