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Channel Spectral Characteristics Some Polyphase Filter Options.

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Presentation on theme: "Channel Spectral Characteristics Some Polyphase Filter Options."— Presentation transcript:

1

2 Channel Spectral Characteristics

3 Some Polyphase Filter Options

4 FDM-to TDM Standard Channelizer: Collection of Downconverters

5 FDM-to TDM Polyphase Channelizer: Input Commutator, M-Path Filter, and FFT

6 Conventional Channelizer Application Channelize and Downsample to Nyquist Rate, Interpolate to Two Times Symbol Rate

7 Enhanced Channelizer Solution Replace Interpolator Function With Buffer Addressing

8 Standard Downconverter: Heterodyne, Filter, Resample

9 Equivalency Theorem Heterodyne and Low Pass Filter Same as Band Pass Filter and Heterodyne

10 Slide Heterodyne Through Filter: Convert Low-Pass to Band-Pass

11 Slide Heterodyne Through Downsampler: Alias Frequency of Heterodyne

12 Select Input Center Frequency That Aliases to DC Under Resampling

13 Discard Trivial Heterodyne: Now a Scalar Multiply by Unity

14 Noble Identity Interchange Order of Filter and Resample

15 M-Path Partition of FIR Filter

16 Example of Polyphase (M-Path) Partition

17 Block Diagram of M-Path Filter

18 Pull Resamplers Through Filters in Each path

19 Delays and Synchronous Rersamplers are Equivalent to Input Commutator

20 Input Series in Each Path of M-Path Filter have Offset Time Origins

21 Path Filters are Interpolators: Computing Output Samples with Common Time Origin

22 Phase Response of Paths in Ten Stage Polyphase Filter

23 Group Delay of Paths in Ten-Stage Polyphase Filter

24 Modulation Property for Z-Transform

25 Polyphase Partition of Band-Pass Filter

26 Spectral Response of Signal in Resampled Pass Band Filter

27 Performance Specifications for 50-Channel Polyphase Channelizer

28 Required Spectral Response of Channel Filter at Output and at Input Rates

29 Time and Frequency Response of Remez Filter Design

30 Time and Frequency response of Remez Filter Design with Modified End Points

31 Time and Frequency Response of Prototype Filter at Output Sample Rate

32 Commutators for Standard Input Buffer and for Circular Input Buffer

33 Standard Polyphase Channelizer and Modified Channelizer with Circular Buffers

34 Content of 64-Point Circular Input Buffer for Two Successive 48 Point Input Blocks

35 Shifting Time Origin for Input Data of Polyphase Filter and of Resetting FFT

36 Contents of Transfer Circular Buffer Aligning Origins for Successive Input Blocks

37 Input Time and Spectrum to 30 Channel, 40 Point FFT Channelizer

38 Time Series from 30 Channel Channelizer

39 Spectra for 30 Channel Channelizer

40 Input Time and Spectrum to 50 Channel, 64 Point FFT Channelizer

41 Time Series from 50 Channel Matched Filter Channelizer

42 Spectra from 50 Channel Matched Filter Channelizer

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