The impulse response of a continuous-time system is denoted by ℎ(𝑡)h(t), while for a discrete-time system, it is denoted by ℎ[𝑛]h[n]. Compare the properties of ℎ(𝑡)h(t) and ℎ[𝑛]h[n] and explain how they differ.a)ℎ(𝑡)h(t) is discrete, while ℎ[𝑛]h[n] is continuous and time-limitedb)Both ℎ(𝑡)h(t) and ℎ[𝑛]h[n] are time-limited and causalc)ℎ(𝑡)h(t) is continuous, while ℎ[𝑛]h[n] is discrete and time-limitedd)Both ℎ(𝑡)h(t) and ℎ[𝑛]h[n] are continuous and time-limited

Consider a discrete time system S1 with impulse response𝒉(𝒏) = (𝟏)𝒏 𝒖[𝒏].𝟓(𝒂) 𝑭𝒊𝒏𝒅 𝒕𝒉𝒆 𝒊𝒏𝒕𝒆𝒈𝒆𝒓 𝑨 𝒔𝒖𝒄𝒉 𝒕𝒉𝒂𝒕 𝒉[𝒏] − 𝑨𝒉[𝒏 − 𝟏] = 𝜹[𝒏].(𝒃) 𝑼𝒔𝒊𝒏𝒈 𝒕𝒉𝒆 𝒓𝒆𝒔𝒖𝒍𝒕 𝒇𝒓𝒐𝒎 𝒑𝒂𝒓𝒕 (𝒂), 𝒅𝒆𝒕𝒆𝒓𝒎𝒊𝒏𝒆 𝒕𝒉𝒆 𝒊𝒎𝒑𝒖𝒍𝒔𝒆 𝒓𝒆𝒔𝒑𝒐𝒏𝒔𝒆𝒈[𝒏] 𝒐𝒇 𝒂𝒏 𝑳𝑻𝑰 𝒔𝒚𝒔𝒕𝒆𝒎 𝑺𝟐 , 𝒘𝒉𝒊𝒄𝒉 𝒊𝒔 𝒕𝒉𝒆 𝒊𝒏𝒗𝒆𝒓𝒆𝒔𝒆 𝒔𝒚𝒔𝒕𝒆𝒎 𝒐𝒇 𝑺𝟏.

Discrete-time signals are _________________Select one:1. Discrete in amplitude and continuous in time2. Continuous in amplitude and continuous in time3. Discrete in amplitude and discrete in time4. Continuous in amplitude and discrete in time

Determine the equivalent response when two LTI systems with impulse responses ha (t) and hb (t) are cascaded.Group of answer choicesh(t) = ha(t) * hb(t)h(t) = ha(t) – hb(t)h(t) = ha(t) hb(t)h(t) = ha(t) + hb(t)

Impulse response of a system is given by h[n] = 2^n u[n+2]. The system is 1 pointCausal but not stableStable and causalStable but not causalnon-causal and not stable

A discrete-time system is defined as y(n)= x(n^3). The system is 1 pointCausal, non-linear and time-invariantnon-causal, linear and time-invariantCausal, linear and time-invariantCausal, linear, and time-variantnon-causal, non-linear and time-variantnon-causal, linear and time-variant