This paper introduces a new approach to classical Multipulse Speech Coding. Based on spiky deconvolution techniques, which take advantage of the sparse character of the multipulse sequence, a new accurate scheme for generating the excitation sequence in multipulse coders is presented and analyzed. Using different quantization procedures, we propose a multipulse coder that can be adjusted to work within bit rates ranging from 4.8 to 9.1 kbit/s. The performance and computational burden of the new coder are also evaluated.