Many physical properties cannot be directly measured with MRI, but are instead derived from a number of encoded measurements. Novel sampling methods in these regimes generally consider how to sample these encoded signals in k or k-t space, but not how to best sample across encodings. Here we present a study into how choice of encoding protocol interacts with the sampling and how these choices affect the multi-dimesnional point spread function. Simulations on vessel-encoded ASL angiography are used to study how these choices affect image reconstruction quality. We show that jointly decoding and reconstructing improves image reconstruction fidelity.