Reconstruction of Sparse Wavelet Signals From Partial Fourier Measurements

Yang Chen, Cheng Cheng, Qiyu Sun
<span title="">2015</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/msfmoh6v7bdk7lrsmtbklto74i" style="color: black;">IEEE Signal Processing Letters</a> </i> &nbsp;
In this paper, we show that high-dimensional sparse wavelet signals of finite levels can be constructed from their partial Fourier measurements on a deterministic sampling set with cardinality about a multiple of signal sparsity.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lsp.2015.2478007">doi:10.1109/lsp.2015.2478007</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ed3aoltgw5dzzij3uj2cb42xvm">fatcat:ed3aoltgw5dzzij3uj2cb42xvm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200906051023/https://arxiv.org/pdf/1506.01871v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/60/3a/603aab9859fddb525e43fbe4413c8e0a3e65877f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lsp.2015.2478007"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>