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Fundamentals of Data Compression - Why, How, and Performance Metrics

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Rohini R Iyer
Rohini R Iyer
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Compression Fundamentals
Topics today… ,[object Object],[object Object],[object Object],[object Object],[object Object]
Why Compression? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Why Compression? Table –1 : Uncompressed source data rates Source Bit Rates for uncompressed Sources (Approximate) Telephony (200-3400 Hz) 8000 samples/second x 12 bits/sample = 96 kbps Wideband Audio (20-20000 Hz) 44100 samples/second x 2 channels x 16 bits/sample= 1.412Mbps Images 512x512 pixel color image x 24 bits/pixel = 6.3Mbits/image Video 640x480 pixel color image x 24 bits/pixel x 30 images/second=221 Mbps  650 megabyte CD can store 23.5 mins of video ? HDTV 1280x720 pixel color image x 60 images/second x 24 bits/pixel=1.3Gbps
The compression problem ,[object Object],[object Object]
Synonyms for Data Compression ,[object Object],[object Object],[object Object],[object Object],[object Object]
Types of Data Compression Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Information Theory Basics ,[object Object],[object Object],[object Object],[object Object],[object Object]
Information Theory Basics ,[object Object],[object Object],[object Object]
Discrete Memoryless Model ,[object Object],[object Object],[object Object],[object Object]
Discrete Memoryless Model [2] ,[object Object],[object Object],[object Object]
Noiseless source coding theorem ,[object Object]
Entropy Reduction ,[object Object],[object Object],[object Object],[object Object],[object Object]
Entropy Reduction [2] ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Entropy Reduction [3] ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Unique Decipherability ,[object Object],[object Object],[object Object]
Unique Decipherability [2] ,[object Object],[object Object],[object Object],[object Object]
Unique Decipherability [3] ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Classification of compression algorithms CODEC
Classification of compression algorithms [2] ,[object Object],[object Object],[object Object]
Classification of compression algorithms [3] ,[object Object],[object Object],[object Object]
Data compression model ,[object Object],[object Object],[object Object],[object Object]
Data compression model REDUCTION IN DATA REDUNDANCY ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Data compression model REDUCTION IN ENTROPY ,[object Object],[object Object],[object Object],[object Object],[object Object]
Compression Performance ,[object Object],[object Object],[object Object],[object Object],[object Object]
Compression Performance AMOUNT OF COMPRESSION ACHIEVED ,[object Object],[object Object],[object Object]
Compression Performance SUBJECTIVE QUALITY METRIC ,[object Object],[object Object],[object Object],[object Object]
Compression Performance OBJECTIVE QUALITY METRIC ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Compression Performance CODING DELAY AND COMPLEXITY ,[object Object],[object Object],[object Object]
Compression Performance CODING DELAY AND COMPLEXITY ,[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]

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Fundamentals of Data Compression - Why, How, and Performance Metrics

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  • 4. Why Compression? Table –1 : Uncompressed source data rates Source Bit Rates for uncompressed Sources (Approximate) Telephony (200-3400 Hz) 8000 samples/second x 12 bits/sample = 96 kbps Wideband Audio (20-20000 Hz) 44100 samples/second x 2 channels x 16 bits/sample= 1.412Mbps Images 512x512 pixel color image x 24 bits/pixel = 6.3Mbits/image Video 640x480 pixel color image x 24 bits/pixel x 30 images/second=221 Mbps  650 megabyte CD can store 23.5 mins of video ? HDTV 1280x720 pixel color image x 60 images/second x 24 bits/pixel=1.3Gbps
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  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.