Barrier synchronization across all processes.

Create a batched GPU FFT plan. # Errors Propagates errors from [`Self::with_config`]: unavailable backend, zero `size`, or backend plan allocation f

Forward CT benchmark for f32, sizes 2^10 to 2^20.

Forward CT benchmark for f64, sizes 2^10 to 2^20.

SAR 2D Image Formation: Large 2D FFTs for algorithms like Range-Doppler, ω-k

SAR Azimuth Processing: Batch FFTs simulating azimuth compression Processes many range lines (azimuth samples) in batch

SAR Chirp Convolution Pipeline: Forward FFT → Multiply → Inverse FFT This is the core of range/azimuth compression

SAR Range Compression: Large 1D FFTs typical of range line processing Common range sample counts: 4096, 8192, 16384, 32768

SAR Real-to-Complex FFT: Raw SAR data is often real-valued

SAR Forward+Inverse Roundtrip: Measures complete FFT cycle performance

Create a Blackman-Harris filter for very low sidelobes. # Arguments `n` - Signal length `width` - Filter width

Create a dual-pruned plan (both input and output). # Arguments `n` - Transform size `input_indices` - Indices of non-zero inputs `output_indices` -

Broadcast data from root to all processes. # Errors Returns `MpiError` on communication failure.