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5 Aliasing Cancellation Condition Aliasing Cancellation Condition : Perfect Reconstruction Condition Perfect Reconstruction Condition :
6 M-path Partition of the m th channel filter M-path Partition of the m th channel filter :
7 M-path Partition of the m th channel synthesis filter M-path Partition of the m th channel synthesis filter :
8 NMDFB filter: Time Domain filter:
9 Error between two filtering models: Error Transfer Function:
10 Piecewise Constant Approximation: Linear Interpolation
11 Piecewise Constant Approximation Performance:
12 Linear Interpolation Approximation Performance:
13 M = 64, D = 32 Rectangular Triangular M = 64, D = 16 Triangular
14 M = 64, D = 32 Rectangular Impulse Response and Filter Spectra
15 M = 64, D = 16 Triangular Impulse Response and Filter Spectra
16 M = 64, D = 16 Triangular Impulse Response and Filter Spectra
17 M = 64, D = 32 Rectangular / M = 256 Triangular Linear Phase Filtering
18 M = 64, D = 32 Rectangular / Triangular Non Linear Phase Filtering
19 M = 256, D = 64 Triangular Non Linear Phase Filtering
20 M = 64, D = 16 Triangular Fractional Delay Filtering
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22 1.Wideband Signal Processing: Effectively reducing the hardware processing rate via NMDFB. 2.Filtering: Linear phase, Non-linear phase, Fractional delay, Masking, Cascade Filtering. 3.Support block timing varying filtering. 4.Support wideband power allocation.
23 Time Domain Timing Recovery & Matched Filtering NMDFB Domain Timing Recovery & Matched Filtering 256 Real Multiplies per Output 240 Real Multiplies per Output
24 NMDFB Timing Recovery Simulation (Submitted to ICASSP 2013) 20 dB SNR / AWGN channel / 0.25 Ts Timing Error
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