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A Digital Backend Architecture for Fourier Imaging

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A real-sampled biplex FFT, with output demuxed by 2<br />

16<br />

in_0-3<br />

in_8-11<br />

in_4-7<br />

in_12-15<br />

in_16-19<br />

in_24-27<br />

in_20-23<br />

in_28-31<br />

Antenna n<br />

….................…………………………………………………..………….… .………………………………………………..……….…<br />

Antenna n+1<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

2048 clock cycles <strong>for</strong> each antenna<br />

8192 clock cycles needed<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

Ch0 Ch1 Ch M-1 Ch M Ch0 Ch1<br />

Antenna n Antenna n+1<br />

Ch0 Ch1 Ch M − 1 Ch M Ch0 Ch1<br />

2 2<br />

out_0_4_1_5_2_6_3_7<br />

…………………….............…<br />

Ch0 Ch1 Ch M − 1 Ch M Ch0 Ch1<br />

2 2<br />

Complex data<br />

re[18.17], im[18.17]<br />

out_8_12_9_13_10_14_11_15<br />

1024 clock cycles <strong>for</strong> each antenna<br />

8192 clock cycles needed<br />

…………………….............…<br />

Ch0 Ch1 Ch M − 1 Ch M Ch0 Ch1<br />

2 2<br />

Ch0 Ch1 Ch M − 1 Ch M Ch0 Ch1<br />

2 2<br />

out_16_20_17_21_18_22_19_23<br />

Complex data<br />

re[18.17], im[18.17]<br />

out_24_28_25_29_26_30_27_31<br />

F engine<br />

n_fft = 11<br />

M = 2 n_fft - 1

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