The filterbank requires storage for the filter coefficients and state, requiring 8 Bytes and 4 Bytes per coefficient or sample. Total storage required for the filterbank = 4096 x 36 x 4B + 4096 x 35 x 4B = 1136 KB.
A single AIE-ML tile has 64 KB of local tile memory. This tile has access to three neighboring tile memories for a total size of 256 KB. Reserve some storage for sysmem, which the processor requires to store stack and heap.
This leads to a solution which requires ~18 tiles for the filterbank. Rounding up to a power of 2 results in a simpler PL solution to avoid managing state. Number of tiles based on storage-bound analysis = 32 tiles.