LBA_DAS : Some Passband Shapes RHF 21/7/97 =============================== 1) Setup: a 4-bit (AT) sampler, the (partially debugged) Tied Array box with 4 identical inputs from the sampler, an N3 module with direct connection to an AT correlator, all fed from a band limited noise source with a ~3dB rising spectrum across 64MHz. 2) The spectrum was effectively flattened by increasing the gain in the TA box until its adder saturated. Note that since the 4 "antennas" were adding coherently, the TA data was still 4-bit before saturation, and therefore only 3-bit afterwards. Some residual slope across the band is still present but this is only noticable in the 32MHz bandpass. 3) Five passbands were recorded: B1*32, B1*16, B1*16S, B2*16 LSB & USB. The spectrum of B2*16L was flipped so that input frequency runs left to right across all plots. Strictly speaking these are power spectra of the input data streams. They differ from the actual filter frequency response in the transition zones at both edges, where energy from the adjacent stop bands is aliased in. There is negligable distortion of the bandpass between the 1dB points. 3.1) A pair of B2*4 passbands (Lower flipped) from the first DAS observation has been included to extend the set. 4) Analysis. Band edges 1_Lower & 1_Upper are measured at the 1dB points (allowing for input noise slope where necessary). At this point the spectrum is at 80% (power) of the mean passband, and the adjacent alias level is <= 1.5% (-18.3dB). Band edges R_Lower & R_Upper denote the equiripple bandpass. The frequency axis is normalised to sample frequency in the usual way. Bandpass 'efficiency' is calculated as 100*(Upper-Lower)/0.5. Ripple is 100*(peak-peak)/mean, power scale. For B1*32 & B1*16S, Ripple is unresolved and the expected value is shown. The last digit in each measured datum is subject to measurement noise. Filter 1_Lower 1_Upper 1_B-Effy Ripple R_Lower R_Upper R_B-Effy Edge ------ ----- ----- -------- ------ ------- ------- -------- ---- B1*32 0.018 .482 92.7% ~0.1% 0.046 0.454 81.7% 0.52 B1*16 0.022 0.478 91.3% 2.6% 0.037 0.463 85.4% 0.51 B1*16S 0.030 0.470 87.8% ~0.6% 0.054 0.445 78.3% 0.36 B2*16Lf 0.035 0.458 84.5% 2.9% 0.062 0.429 73.5% 0.50 B2*16U 0.041 0.464 84.6% 2.4% 0.070 0.438 73.6% 0.50 B2*4Lf 0.042 0.458 83.3% 4.9% 0.064 0.437 74.6% 0.50 B2*4U 0.044 0.461 83.3% 5.2% 0.065 0.438 74.5% 0.49 5) Comments on 4) The spectra plotted always differ from the actual filter bandshape in the transition regions on each side, due to energy in the adjacent alias bands being folded on top of the principal response. The distortion varies from 3dB at band edge to less than 0.01% (ie. < -40dB) in the equiripple zone. B1* and B1*S responses for n=8,4 & 2 scale in frequency from the B1*16(S) responses. The 1MHz bandshapes are a little different. B2*, n=8,4,2 & 1, responses do not scale from the B2*16. They have ~5% ripple through the passband. The L and U sideband responses are mirror images of each other. Small differences tabulated in 3) represent experimental error. F1 and F2 bandshapes all scale directly from their corresponding parent B1 and B2 responses. Given a particular (Band Splitter,Fine Tuner) configuration the FT filter's parent response can be found from the following table. F \ BS *1 *2 *4 *8 *16 T \ \_________________________________________ *0.0625 | B1*1 - - - - *0.125 | B1*2 B1*1 - - - *0.25 | B1*4 B1*2 B1*1 - - *0.5 | B1*8 B1*4 B1*2 B1*1 - *1 | B1*16 B1*8 B1*2 B1*2 B1*1 *2 | - B1*16 B1*8 B1*4 B1*2 *4 | - - B1*16 B1*8 B1*4 *8 | - - - B1*16 B1*8 *16 | - - - - B1*16 The B1*S bandshapes are 7.5dB down at the Nyquist band edges. All other responses are 6dB down. -----------------------------------------