By Jayaraman J. Thiagarajan and Andreas Spanias
The MPEG-1 Layer III (MP3) set of rules is without doubt one of the so much winning audio codecs for shopper audio garage and for move and playback of track on electronic audio gamers. The MP3 compression normal in addition to the AAC (Advanced Audio Coding) set of rules are linked to the main winning song gamers of the decade. This booklet describes the basics and the MATLAB implementation information of the MP3 set of rules. numerous of the tedious approaches in MP3 are supported via demonstrations utilizing MATLAB software program. The e-book offers the theoretical options and algorithms utilized in the MP3 commonplace. The implementation info and simulations with MATLAB supplement the theoretical rules. The vast checklist of references allows the reader to accomplish a extra certain examine on particular elements of the set of rules and achieve publicity to developments in perceptual coding. desk of Contents: creation / research Subband clear out financial institution / Psychoacoustic version II / MDCT / Bit Allocation, Quantization and Coding / Decoder
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Extra resources for Analysis of the MPEG-1Layer III (MP3) Algorithm Using MATLAB
6). The basilar excitation pattern per partition is computed by convolving the energy in each partition with the spreading function. 9) 34 3. 3 – Compute the spreading function % s[j][i], the value of the spreading function, centered at band j, for band i. 5; end % Computation of B(dz) in Eq. 0+tempx*tempx); % Computation of spf in Eq. 3: MATLAB Code for calculating spreading function. where zm is the mean bark value of the partition z and zmax is the largest partition index for a given sampling rate.
Hence, the power spectrum of the signal, which is computed from the complex FFT spectrum of the signal, needs to be partitioned into critical bands. The cochlear filter pass bands are of non-uniform bandwidth and the bandwidths increase with increasing frequency. The critical bandwidth is a function of frequency that quantifies the cochlear filter bandwidths. 69 (Hz) . 2 illustrates the corresponding magnitude responses. The psychoacoustic module needs to account for the delay of the filter bank and for an offset in order to center the data in the audio frame within the psychoacoustic analysis window .
2 ⎠⎠ ⎝ 36 ⎝ h( n) = x( n) sin ⎜ 25 30 35 n = 0 to 17 n = 18 to 23 n = 24 to 29 n = 30 to 35. 1 5 10 15 20 25 30 35 0 Sample Index (n) n = 0 to 5 ⎧0 ⎪ ⎪ x( n) sin ⎛⎜ π ⎛⎜ n − 6 + 1 ⎞⎟ ⎞⎟ n = 18 to 23 ⎪ 2 ⎠⎠ ⎝ 12 ⎝ h( n) = ⎨ n = 24 to 29 ⎪ x ( n) ⎪ 1 ⎞⎞ ⎛π ⎛ n = 30 to 35. ⎪ x( n) sin ⎜ ⎜ n + ⎟ ⎟ 2 ⎠⎠ ⎝ 36 ⎝ ⎩ (c) 5 10 15 20 25 30 35 Sample Index (n) ⎛π ⎛ 1 ⎞⎞ h( k ) (n) = y ( k ) (n) sin ⎜ ⎜ n + ⎟ ⎟ 2 ⎠⎠ ⎝ 12 ⎝ for n = 0 to 11, k = 0 to 2 ⎧ x(i + 6) k = 0, n = 0 to 11 ⎪ y (n) = ⎨ x(i + 12) k = 0, n = 0 to 11 ⎪ x(i + 18) k = 0, n = 0 to 11.
Analysis of the MPEG-1Layer III (MP3) Algorithm Using MATLAB by Jayaraman J. Thiagarajan and Andreas Spanias