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Encoder Complexity Optimization for ParamMC modes - use shorter MDFT for signal analysis

The MDFT transform length used to calculate the parameters for paramMC in the Encoder can be shortened by half. This then fits the time resolution of the transient handling. The shorter transform length saves computation complexity in the encoder while preserving quality on the same level.

Computational Complexity savings for all ParamMC bitrates:

format bitrate bandwidth ref opt diff
MC51 48 fb 146.208 114.645 -31.563000000000002
MC51 48 swb 106.784 87.889 -18.89500000000001
MC51 48 wb 69.922 60.669 -9.253
MC51 64 fb 147.684 116.446 -31.238
MC51 64 swb 109.53 90.632 -18.897999999999996
MC51 64 wb 71.007 61.729 -9.278000000000006
MC51 80 fb 145.995 114.338 -31.65700000000001
MC51 80 swb 107.018 88.125 -18.893
MC51 80 wb 70.806 61.536 -9.269999999999996
MC512 48 fb 171.705 127.967 -43.738000000000014
MC512 48 wb 78.004 65.076 -12.928000000000011
MC512 64 fb 173.823 130.077 -43.74600000000001
MC512 64 wb 79.648 66.72 -12.927999999999997
MC512 80 fb 171.453 127.705 -43.748000000000005
MC512 80 wb 79.65 66.745 -12.905000000000001
MC512 96 fb 228.63 182.003 -46.62700000000001
MC512 96 wb 114.766 100.912 -13.854
MC514 128 fb 260.581 200.512 -60.06900000000002
MC514 128 swb 194.874 158.487 -36.387
MC514 128 wb 126.042 107.97 -18.072000000000003
MC514 96 fb 255.772 195.862 -59.91
MC514 96 swb 189.731 153.373 -36.358000000000004
MC514 96 wb 123.818 105.754 -18.063999999999993
MC71 48 fb 171.769 127.859 -43.91000000000001
MC71 48 swb 123.156 96.824 -26.332000000000008
MC71 48 wb 78.196 65.268 -12.927999999999997
MC71 64 fb 172.928 129.806 -43.121999999999986
MC71 64 swb 126.214 99.965 -26.248999999999995
MC71 64 wb 79.554 66.62 -12.933999999999997
MC71 80 fb 171.127 127.432 -43.69500000000001
MC71 80 swb 123.693 97.406 -26.286999999999992
MC71 80 wb 79.459 66.529 -12.930000000000007
MC71 96 fb 229.016 182.601 -46.41499999999999
MC71 96 swb 169.86 141.719 -28.14100000000002
MC71 96 wb 114.957 101.11 -13.846999999999994
MC714 128 fb 291.022 216.637 -74.38499999999999
MC714 128 swb 214.533 168.949 -45.583999999999975
MC714 128 wb 136.547 113.856 -22.691000000000003
MC714 160 fb 322.321 243.899 -78.42200000000003
MC714 160 swb 233.755 185.661 -48.093999999999994
MC714 160 wb 152.105 128.115 -23.98999999999998

=> biggest savings are observed at 160kbps.

Impact on ROM:

For the shorter transform, a table needs to be added, which increases lib_com TROM by 121 words. PROM is about the same (difference of 2).

Impact on quality:

Quality was evaluated by informal listening and additionally we examined the computed ICC and ICLD values after quantization and compared them to the baseline version without the optimization. Values only differ for less than 3%. Most differences are only by one quantization step and only 0.0002 percent of the examined values differed by two steps. Larger differences were not observed. So, we are quite confident that the same quality is preserved with this optimization.