Word Problem : Explain what is Z transform, and describe the relation of the Z transform...

Word Problem : Explain what is Z transform, and describe the relation of the Z transform and the DTFT.

Expert Solution

Manojponduru answered 1 year ago

Determine the response to the unit step if the Z transform of a response to the...

Determine the response to the unit step if the Z transform of a response to the unit impulse of a causal system is: H (z) = ((z ^ 3) -1) / ((z ^ 4) -1)

Let R be the relation on Z+× Z+ such that (a, b) R (c, d) if...

Let R be the relation on Z+× Z+ such that (a, b) R (c, d) if and only if ad=bc. (a) Show that R is an equivalence relation. (b) What is the equivalence class of (1,2)? List out at least five elements of the equivalence class. (c) Give an interpretation of the equivalence classes for R. [Here, an interpretation is a description of the equivalence classes that is more meaningful than a mere repetition of the definition of R. Hint:...

The equivalence relation on Z given by (?, ?) ∈ ? iff ? ≡ ? mod...

The equivalence relation on Z given by (?, ?) ∈ ? iff ? ≡ ? mod ? is an equivalence relation for an integer ? ≥ 2. a) What are the equivalence classes for R given a fixed integer ? ≥ 2? b) We denote the set of equivalence classes you found in (a) by Z_5. Even though elements of Z_5 are sets, it turns out that we can define addition and multiplication in the expected ways: [?] + [?]...

Prove that "congruent modulo 3" is an equivalence relation on Z. What are the equivalence classes?

6. Let R be a relation on Z x Z such that for all ordered pairs...

6. Let R be a relation on Z x Z such that for all ordered pairs (a, b),(c, d) ∈ Z x Z, (a, b) R (c, d) ⇔ a ≤ c and b|d . Prove that R is a partial order relation.

Define a relation ~ on Z x Z such that (a,b) ~ (c,d) precisely when a...

Define a relation ~ on Z x Z such that (a,b) ~ (c,d) precisely when a + b = c + d. Let R = {[(a,b)] : (a,b) in Z x Z} (i.e. R is the set of all equivalence classes of Z x Z under the equivalence relation ~). For each of the following operations, determine whether or not the operation is well defined. Prove your answer. [(x,y)] * [(w, z)] = [(x + w, y + z)] [(x,y)]...

fourier transform of the following with steps: x(t) = z(t) + z(t - 30) x(t) =...

fourier transform of the following with steps: x(t) = z(t) + z(t - 30) x(t) = z(2*t) + z(t + 30) x(t) = z^(2)(t)

Consider the relation R defined on the set Z as follows: ∀m, n ∈ Z, (m,...

Consider the relation R defined on the set Z as follows: ∀m, n ∈ Z, (m, n) ∈ R if and only if m + n = 2k for some integer k. For example, (3, 11) is in R because 3 + 11 = 14 = 2(7). (a) Is the relation reflexive? Prove or disprove. (b) Is the relation symmetric? Prove or disprove. (c) Is the relation transitive? Prove or disprove. (d) Is it an equivalence relation? Explain.

Let ∼ be the relation on P(Z) defined by A ∼ B if and only if...

Let ∼ be the relation on P(Z) defined by A ∼ B if and only if there is a bijection f : A → B. (a) Prove or disprove: ∼ is reflexive. (b) Prove or disprove: ∼ is irreflexive. (c) Prove or disprove: ∼ is symmetric. (d) Prove or disprove: ∼ is antisymmetric. (e) Prove or disprove: ∼ is transitive. (f) Is ∼ an equivalence relation? A partial order?

Explain the difference between motivational internalism and motivational externalism in relation to the problem of psychopathy.

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