Let x(t) be a stream of Diracs x(t) = L =1 a d(t - t ) with unknown locations {t }L =1 and weights {a }L =1. Determine the minimal number of samples required for signal reconstruction. Consider the...

Let x(t) be a stream of Diracs x(t) = L =1 a d(t - t ) with unknown locations {t }L =1 and weights {a }L =1. Determine the minimal number of samples required for signal reconstruction. Consider the class of signals x(t) that lie in a SI subspace x(t) = n?Z d[n]h(t - nT ) for a sequence of numbers d[n]. For each of the restrictions on the values d[n] below indicate whether the signals x(t) form a subspace, or a union of subspaces: a. d[4] = 5, d[10] = 7; the remaining values of d[n] are arbitrary. b. d[3n]=0 for all n; the remaining values of d[n] are arbitrary. c. d[3n + ]=0 for all n and some value of ; the remaining values of d[n] are arbitrary. Here can be any index from the set {0, 1, 2}.