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TOPICS IN DSP (  Polyphase decomposition,DCT,Gibbs phenomenon,Oversampled ADC ) PRESENTED BY MUHAMMAD YOUNAS ROLL NO: SE-18 Department of Electrical Engineering PIEAS
POLYPHASE DECOMPOSITION ,[object Object],[object Object]
M-Branch Polyphase decomposition ,[object Object],Z L M h[n] e l [n] Schematic of the Diagram Showing relation ship  between h[n] and Lth Polyphase component .
Polyphase Representation for FIR and IIR   Filters
Efficient Structure for Fractional Decimation. Fractional Decimator  (Decimates by rational factor M/L) Polyphase Implementation of the fractional Decimator
COMPUTATION COMPARISON ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Improved, Low Complexity Noise Cancellation   Technique for Speech Signals ,[object Object],[object Object],[object Object],[object Object]
 
[object Object],[object Object],Paper details
OVERSAMPLING ADC ,[object Object],[object Object],[object Object]
BENEFITS OF OVERSAMPLING ,[object Object],[object Object],[object Object]
OVERSAMPLED ADC ARCHITECTURE
Assumptions   ,[object Object],[object Object],[object Object]
Signal power component remains same from   input to output
  Cont… ,[object Object]
As the oversampling ratio M increases, Less of the quantization noise overlaps with the signal spectrum it is this effect of the oversampling that let us to improve the SNR .
Increasing M improves SNR ,[object Object],[object Object],[object Object],[object Object]
GIBBS PHENOMENON ,[object Object],[object Object]
Explanation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
  Discrete Cosine Transform . ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
DCT-I and DCT-II ,[object Object],[object Object]
Cont… ,[object Object]
  DCTII ,[object Object],[object Object],[object Object]
Steps in Compression (Application of DCT-II) ,[object Object],[object Object],[object Object],[object Object],[object Object]
DCT on 8x8 blocks 64 pixels 64 pixels 8 pixels 8 pixels ,[object Object],[object Object]
2-D DCT USED IN IMAGE COMPRESSION ,[object Object],[object Object],[object Object],Image y: 1-D DCT  x: 1-D DCT 2-D DCT
Step 2:Transform •  DC level shifting •  2D DCT -128 DCT
Step 2: Quantization Q-table Q the upper-left corner coefficient is called the  DC coefficient , which is a measure of the average of the energy of the block Other coefficients are called  AC coefficients , coefficients correspond to high frequencies tend to be zero or near zero for most natural images DC coefficient
Why Quantization??? ,[object Object],[object Object],[object Object]
    Frequency distribution ,[object Object]
Step 3: Zigzag Scanning Zigzag Scan (20,5,-3,-1,-2,-3,1,1,-1,-1, 0,0,1,2,3,-2,1,1,0,0,0,0,0, 0,1,1,0,1,EOB) Zigzag Scan End Of the Block: All following coefficients  are zero which is followed by run length and Huffman encoding

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Dct,gibbs phen,oversampled adc,polyphase decomposition

  • 1. TOPICS IN DSP ( Polyphase decomposition,DCT,Gibbs phenomenon,Oversampled ADC ) PRESENTED BY MUHAMMAD YOUNAS ROLL NO: SE-18 Department of Electrical Engineering PIEAS
  • 2.
  • 3.
  • 4. Polyphase Representation for FIR and IIR Filters
  • 5. Efficient Structure for Fractional Decimation. Fractional Decimator (Decimates by rational factor M/L) Polyphase Implementation of the fractional Decimator
  • 6.
  • 7.
  • 8.  
  • 9.
  • 10.
  • 11.
  • 13.
  • 14. Signal power component remains same from input to output
  • 15.
  • 16. As the oversampling ratio M increases, Less of the quantization noise overlaps with the signal spectrum it is this effect of the oversampling that let us to improve the SNR .
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28. Step 2:Transform • DC level shifting • 2D DCT -128 DCT
  • 29. Step 2: Quantization Q-table Q the upper-left corner coefficient is called the DC coefficient , which is a measure of the average of the energy of the block Other coefficients are called AC coefficients , coefficients correspond to high frequencies tend to be zero or near zero for most natural images DC coefficient
  • 30.
  • 31.
  • 32. Step 3: Zigzag Scanning Zigzag Scan (20,5,-3,-1,-2,-3,1,1,-1,-1, 0,0,1,2,3,-2,1,1,0,0,0,0,0, 0,1,1,0,1,EOB) Zigzag Scan End Of the Block: All following coefficients are zero which is followed by run length and Huffman encoding