Difference between revisions of "MTD2 class 9"

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(Aliasing)
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Nyquist Theorem -- The sampling frequency determines the high frequency limit.
 
Nyquist Theorem -- The sampling frequency determines the high frequency limit.
  
Fh = 2 * Fs
+
Fh = Fs/2
  
 
Fh if the highest frequency you want to record and Fs is the Nyquist Freqency or Sample Rate (I can;t get the wiki math functions working yet)
 
Fh if the highest frequency you want to record and Fs is the Nyquist Freqency or Sample Rate (I can;t get the wiki math functions working yet)

Revision as of 16:00, 28 March 2006

In class

  • Review and discuss rough movie edits.
  • Digital Theory 2
    • Listen to Beethoven exmaples (Sample Rate and Bit Depth)
    • Discuss Digital Errors
    • Look at sampling circuit
  • Quiz Three Next

Three types of digital errors

  • Quantization Error - Difference between actual analog value and quantized digital value
  • Aliasing - Undersampling
  • Jitter - Time errors

Quantization

Quantization Definitaion

Quantization Signal Processing


Discrete levels based on the number of bits

Analogy

Analog is like a bucket of water while digital is like a bucket of ball bearings. Analog has an infinite resolution while a digital system can only resolve thins to finite values.


"...if sheets of typing paper were stacked 22 feet, a single sheet of paper would represent one quatization level in a 16-bit system. In a 20-bit system, the stack would reach 349 feet. In a 24-bit system, the stack would tower 5592 feet in height - over a mile high." -Principals of Digital Audio, Ken C. Pohlmann McGraw Hill

  1. The more bits you have the more dynamic range you have. Each bit is equal to aporximately 6 more dB. 16 dB s about 120 dB of dynamic range.

Quantization Error

Quantization_error

Quantization error = the difference between the actual analog value and the quantized digital value.

The less bits that you have to quantize a signal the larger the quantization error will be. More Bits = Less Quantization Error

Quantization Error is alos known as Signal

Dither

Dither

Dither = noise added to signal

Dither.gif

addition of a small amount of white noise to the signal to reduce signal-to-error distortion ...also aid in processing and bit depth conversion... see dither article

Audio Dither Example


READ dither Article

http://www.digido.com/ditheressay.html

Aliasing

Aliasing = error caused by under sampling -- cars wheels in movies

Aliasing on Wikipedia

Sampling Frequency/Aliasing

Get smapling gif sampling1.gif (39564 bytes)

Sampling Frequency

http://en.wikipedia.org/wiki/Nyquist-Shannon_sampling_theorem

Nyquist Theorem -- The sampling frequency determines the high frequency limit.

Fh = Fs/2

Fh if the highest frequency you want to record and Fs is the Nyquist Freqency or Sample Rate (I can;t get the wiki math functions working yet)


Sampling frequency = discrete time frequency of the sampler

44.1 kHz = CD audio

square wave @ 20KHz won't make it w/ a 44.1 kHz sampler

Need a brick wall filter at the imput of the samplig circuit with a cut off frequency of 1/2 the smapling rate

Jitter

Error due to clock synchronization...

Jitter on Wikipedia

Signal Flow

low pass filter (ideally a brick wall filter) --> AD Converter --> DA converter --> low pass filter

pcm.gif (23735 bytes)


READ Jitter Article

http://www.digido.com/jitteressay.html

Digitizer

Digitizer.png

Premiere Audio Demo

How to make Sound forge default editor for Premiere

Flash Tracing Demo

How to trace still images in flash


Homework

  • Work on Audio for Storyboard movie
  • Post another version of the exported movie
  • Quiz Three Next week